時(shí)間和空間智慧樹知到課后章節(jié)答案2023年下中國科學(xué)技術(shù)大學(xué)

時(shí)間和空間智慧樹知到課后章節(jié)答案2023年下中國科學(xué)技術(shù)大學(xué)中國科學(xué)技術(shù)大學(xué)

緒論單元測(cè)試

WhichofthefollowingtopicsisNOTcoveredinthiscourse?（

）。

A:ThegeometryofgeneralrelativityB:ThespacetimeviewofspecialrelativityC:ThethermodynamicsofblackholeD:Thecompositionandevolutionofouruniverse

答案:Thethermodynamicsofblackhole

第一章測(cè)試

Whichistheweakestinthefourfundamentalinteractions?（）。

A:GravitationB:WeakinteractionC:StronginteractionD:Electromagnetism

答案:Gravitation

Whichinteractiondoesphotonmediate?（）。

A:ElectromagnetismB:WeakinteractionC:GravitationD:Stronginteraction

答案:Electromagnetism

WhichisthecorrectformofNewton’sinversesquaregravitylaw?（）。

A:B:C:D:

答案:

Gravityisuniversalbecausetherearenonegativegravitationalcharge.（）

A:錯(cuò)B:對(duì)

答案:錯(cuò)

Whichofthefourfundamentalinteractionsarelongdistanceforce?（）。

A:GravitationB:WeakinteractionC:ElectromagnetismD:Stronginteraction

答案:Gravitation;Electromagnetism

Whichisthecorrectformoftheimportantratiointhissection?（）。

A:B:C:D:

答案:

Whichofthefollowinghasthestrongestgravitationalenvironment?（）。

A:HydrogenatomB:HumanC:StrandofDNAD:MilkyWay

答案:StrandofDNA

Ouruniverseisastronggravitysystem.（）

A:對(duì)B:錯(cuò)

答案:對(duì)

Whichofthefollowingstatementaboutblackholesiscorrect?（）。

A:Blackholesarestronggravitysystem.B:Newtongravityisgoodenoughtodescribeblackhole.C:Theireventhorizonis.D:Kerrblackholeisnotrotating.

答案:Theireventhorizonis.

Whichofthefollowingstatementaboutgravitationalwavesiscorrect?（）。

A:GW150914isthefirstgravitationalwavesignalhumanobserved.B:asystemconsistingoftwoblackholes(orBH-star)incloseorbitaroundeachothercangenerategravitationalwavesC:PenrosewasawardedtheNobelprizeforthedetectionofgravitationalwaves.D:Gravitationalwavescanpropagatewiththespeedoflight.

答案:GW150914isthefirstgravitationalwavesignalhumanobserved.;asystemconsistingoftwoblackholes(orBH-star)incloseorbitaroundeachothercangenerategravitationalwaves;Gravitationalwavescanpropagatewiththespeedoflight.

第二章測(cè)試

Inagravitationalfield,allbodieswiththesameinitialconditionsfollowthesamecurveinspaceandtime.（）

A:錯(cuò)B:對(duì)

答案:對(duì)

Whichisthecorrectformofsumofinterioranglesforatriangleonasphere?（）。

A:B:C:D:

答案:

Whichisrangeofsumofinterioranglesforatriangleonasphere?（）。

A:B:C:D:

答案:

Whichiscorrectformoftheratioofthecircumferencetotheradiusofacircleonasphere?（）。

A:B:C:D:

答案:

Forsomegeometry,thesumoftheinteriorangleofatrianglecanbesmallerthan180degree.（）

A:對(duì)B:錯(cuò)

答案:對(duì)

Thelineelementforageometrymustbepositivedefinite.（）

A:錯(cuò)B:對(duì)

答案:對(duì)

WhichiscorrectformofthelineelementforpolarcoordiantesintheEuclideangeometryofaplane?（）。

A:B:C:D:

答案:

Whatisthedistancebetweentwopointandonasphereofradiusa?(assuming)（）。

A:B:C:D:

答案:

Thegeometrywiththelineelementisaxisymmetricaboutaaxis.（）

A:錯(cuò)B:對(duì)

答案:對(duì)

Whatisthecircumferenceofacircleofconstantonageometrywiththelineelement（）。

A:B:C:D:

答案:

第三章測(cè)試

Ifthemotionofagivenparticlesatistiesinsomereferenceframe,thenthisframeiscalledainertialframe.（）

A:錯(cuò)B:對(duì)

答案:錯(cuò)

Ifreferenceframe(x,y,z)isainertialframeinNewtoniangravity,thenwhichofthefollowingtransformationsalsogiveineritalframe（）。

A:B:C:D:

答案:;;

WhichofthefollowingtransformationdoesnotbelongtoGalileantransformation?（）。

A:B:C:D:

答案:

WhichisthecorrectformofgravitationalpotentialforpointmassM?（）。

A:B:C:D:

答案:

WhatisthestrengthofgravitationalinteractionbetweentwospheresR1ofmassm1,m2andR1,R2,seperatedbyr?（）。

A:B:C:D:

答案:

Whichofthefollowingstatementabouttherelationshipbetweengravitationalforceandgravitationalpotentialiscorrect?（）。

A:Largegravitationalpotentialmeanslargegravitationalforce.B:Gravitationalforcepointsatthedirectinwhichgravitationalpotentialincrease.C:Gravitationalforcepointsatthedirectinwhichgraviattionalpotentialdecrease.D:Largegradientofgravitationalpotentialmeanslargegravitationalforce.

答案:Gravitationalforcepointsatthedirectinwhichgraviattionalpotentialdecrease.;Largegradientofgravitationalpotentialmeanslargegravitationalforce.

Themassappearinginwhichofthefollowingexpressionisgravitationalmass?（）。

A:B:C:D:

答案:

InNewtoniangravity,wehavetheassumptionthatgravitationalmassandinertialmassareequaltoeachother.（）

A:對(duì)B:錯(cuò)

答案:對(duì)

Foraparticleofmassm,movinginapotentialV(x),what'sthecorrectformofitsLagrangian?（）。

A:B:C:D:

答案:

WhatistheequationofmotionfortheLagrangian?（）。

A:B:C:D:

答案:

第四章測(cè)試

TheMaxwellequationstakethesameformineveryinertialframeofNewtonianmechanics.（）

A:錯(cuò)B:對(duì)

答案:錯(cuò)

Whichofthefollowingstatementaboutthefollowingspacetimediagramarecorrect?（）。

A:ParticleAandparticleBaregettingclosertoeachother.B:ParticleAisstationary.C:ParticleBmovesfasteratpointIthanpointII.D:ParticleBismovingwithaconstantvelocity.

答案:ParticleAandparticleBaregettingclosertoeachother.;ParticleBmovesfasteratpointIthanpointII.

Whichofthefollowingstatementaboutthefollowinglightclockexperimentarecorrect?（）。

A:Intheleftpanel,theperiodofpulseis.B:Intheleftpanel,theperiodofpulseis.C:Intherightpanel,theperiodofpulseis.D:Intherightpanel,theperiodofpulsesatisfies.

答案:Intheleftpanel,theperiodofpulseis.;Intherightpanel,theperiodofpulsesatisfies.

WhichofthefollowinglineelementcanNOTdescribeMinkowskigeometry?（）。

A:.B:.C:.D:.

答案:.

Whichsetofpoints(ct,x,y,z)aretimelikeseparated?（）。

A:A(0,0,1,0)andB(2,1,0,0).B:A(0,0,0,0)andB(1,1,0,0).C:A(0,1,0,0)andB(0,0,1,0).D:A(1,0,0,0)andB(1,1,0,0).

答案:A(0,0,1,0)andB(2,1,0,0).

Twotwins,AliceandBob,startfromrestatonepointinspaceattimet1inaninertialframe.Alicemovesawayfromthestartingpointbutlaterreturnstorestatthesamepointattimet2.Bobremainsatrestatthestartingpoint.Whichofthefollowingstatementiscorrect?（）。

A:AliceandBobagetothesameextent.B:ThesituationdependsonhowAlicemoves.C:BobageslessthanAlice.D:AliceageslessthanBob.

答案:AliceageslessthanBob.

ReferenceBmovesawayfromreferenceAatthespeedof0.6c.InreferenceframeA,arulerisstatic,anditslengthis1m.WhatisthelengthofthisrulermeasuedinreferenceB?（）。

A:1.5625m.B:0.64m.C:0.8m.D:1.25m.

答案:0.8m.

Aflashlightisstaticonatrainmovingat0.8c.Whatisthespeedoflightmeasuredbypeoplestandingonthegroundbesidethistrain?（）。

A:0.8c.B:1.8c.C:c.D:Itdependsonthedirectoftheflashlight.

答案:c.

第五章測(cè)試

Assuminga=(2,1,3,0),b=(1,2,1,4),whatistheresultfora*b?(Herewehaveη=diag(-1,1,1,1))（）。

A:3.B:2.C:1.D:0.

答案:3.

WhichofthefollowingisNOTafourvector?（）。

A:.B:.C:.D:.

答案:.

Assuming,whatisthecorrespondingfourvelocity?(Hereweassumec=1)（）。

A:.B:.C:.D:.

答案:.

Foraone-dimensionalmovingparticlesatisfying

,

whatisitsfourvelocity?（）。

A:.B:.C:.D:.

答案:.

Foraone-dimensionalmovingparticlesatisfying

,

supposingitsmassism,whatisitsfourforce?（）。

A:.B:.C:.D:.

答案:.

Aparticleofmassmhitanotherparticleofmass2matspeedv.Ifthecollisioniselastic,whatisthetotalenergyofthesystemafterthecollision?（）。

A:.B:.C:.D:.

答案:.

Theworldlineofafreeparticlebetweentwotimelikeseparatedpointsextremizesthepropertimebetweenthem.（）

A:錯(cuò)B:對(duì)

答案:對(duì)

Asourceanddetectorarespacedacertainangleφapartontheedgeofarotatingdisk.Thesourceemitsradiationatafrequencyωinitsinstantaneousrestframe.Whatfrequencyistheradiationdetectedat?（）。

A:2ω.B:0.5ω.C:1.5ω.D:ω.

答案:ω.

Arockettravelstowardtheearthwithaspeedof0.8c.Ifthisrocketemitssignaloffrequencyω,what'sthefrequencymeasuredbypeopleontheearth?（）。

A:ω.B:0.6ω.C:ω/3.D:3ω.

答案:3ω.

ReferenceBmovesalongthex-axisofreferenceAatspeedv.WhenreferenceAemitsabeamoflightatydirection,theanglebetweenthelightandx'-axisdetectedbyreferenceBis53degrees.Ifwewantthisangletodecreaseto37degrees,howfastshouldreferenceBmove?（）。

A:(5/3)v.B:(1/2)v.C:(3/2)v.D:(4/3)v.

答案:(4/3)v.

第六章測(cè)試

Whichofthefollowingstatementsarecorrect?（）。

A:TheEotvosexperimentisafamousexperimentofthetestofequivalenceprinciple.B:IntheEotvosexperiment,thesystemcanbebalancedatrestshowstheequivalenceofgravitationalandinertialmass.C:Einstein’sequivalenceprinciplesaysthat,thereisnoexperimentthatcandistinguishauniformaccelerationfromauniformgravitationalfield.D:Theequalityofgravitationalandinertialmassisoneofthemostaccuratelytestedprinciplesinallphysics.

答案:TheEotvosexperimentisafamousexperimentofthetestofequivalenceprinciple.;IntheEotvosexperiment,thesystemcanbebalancedatrestshowstheequivalenceofgravitationalandinertialmass.;Einstein’sequivalenceprinciplesaysthat,thereisnoexperimentthatcandistinguishauniformaccelerationfromauniformgravitationalfield.;Theequalityofgravitationalandinertialmassisoneofthemostaccuratelytestedprinciplesinallphysics.

Assumingtheaccelerationofgravityatthesurfaceoftheearth,howwidetheelevatorhavetobeforethelightraytofallby1mmoverthecourseofitstransit?（）。

A:.B:.C:.D:.

答案:.

Inaskydivingactivity,youjumpoutsidethesamestaticplane3safterProf.Caijump.Accordingtotheequivalenceprinciple,whoofyoutwohaveaheartjumpingfaster?(Consideridealscenariohere)（）。

A:You.B:Prof.Cai.C:Itcannotbedecided.D:Theheartofyoutwoalwaysjumpatthesamerate.

答案:Prof.Cai.

Bytestingthegravitationalredshift,wecandistinguishbetweenNewtoniangravityandEinstein'sgravity.（）

A:對(duì)B:錯(cuò)

答案:對(duì)

ForasphericalstarofmassMandradiusR,thegravitationalpotentialatthesurfaceis-GM/R,andthegravitationalpotentialfarawayiszero.Whenabeamoflightisemittedataratefromthesurface,whatistheratioofitsfrequencyatspatialinfinityandatthesurface?（）。

A:.B:.C:.D:.

答案:.

TheoperationoftheGPSsystemreliesontheaccuratetimemeasurementofsatelliteclock,andthusweneedtotakeintoaccountthegeneralrelativitycorrectioninGPSsystem.（）

A:錯(cuò)B:對(duì)

答案:對(duì)

Ingeneralrelativity,thelineelementofasphericalstarofmassMandradiusRhastheform

.

Whatisthegravitationalpotentialofthisfieldwhere?（）。

A:.B:.C:.D:.

答案:.

Theformula

alsoholdsinstrongfieldanddynamicfieldscenario.（）

A:對(duì)B:錯(cuò)

答案:錯(cuò)

Theformula

containsthecontributionofbothspecialrelativityandgeneralrelativity.（）

A:對(duì)B:錯(cuò)

答案:對(duì)

第七章測(cè)試

WhichofthefollowingstatementsaboutthePenrosediagramforMinkowskispacetimeinNOTcorrect?（）。

A:pasttimelikeinfinity.B:futuretimelikeinfinity.C:spatialinfinity.D:nullinfinity.

答案:spatialinfinity.

Consideringthedegreeoffreedomcorrespondingtocoordiantetransformation,whatisthenumberofindependentfunctionsassociatedwithametric?（）。

A:16.B:6.C:10.D:2.

答案:6.

Whichofthefollowingcanbeaphysicallyallowedmetric?（）。

A:.B:.C:.D:.

答案:.

Whenweworkwithorthonormalbases,thismeansweareworkingwithlocalLorentzframe.（）

A:對(duì)B:錯(cuò)

答案:錯(cuò)

Inthiswormholespacetime,whichpointistheclosesttothepointr=10b?（）。

A:Pointr=0.B:Pointr=-5b.C:Pointr=5b.D:Pointr=-10b.

答案:Pointr=5b.

Whichofthefollowingstatementsiscorrect?（）。

A:Thebaseschosenhereisorthonormalbases.B:Thebaseschosenhereiscoordinatebases.C:Thebaseschosenhereisneitherorthonormalbasesnorcoordinatebases.D:Thebaseschosenhereisbothorthonormalbasesandcoordiantebases.

答案:Thebaseschosenhereisbothorthonormalbasesandcoordiantebases.

Giventhemetricform

,

andfourvector,whatistheresultfor?（）。

A:.B:.C:.D:.

答案:.

Whichofthefollowingcanbethenormalvectorofanullsurface?（）。

A:(1,1,0,0).B:(1,0,0,0).C:(0,1,0,0).D:(0,1,1,0).

答案:(1,1,0,0).

In4Dspacetime,thenormalvectorofaspacelike3D-surfaceistimelike,andthenormalvectorofatimelike3D-surfaceisspacelike.（）

A:錯(cuò)B:對(duì)

答案:錯(cuò)

第八章測(cè)試

Whichofthefollowingaboutvarianceprincipleandgeodesicarecorrect?（）。

A:Geodesicisakindofanalogyofstraightlineincurvedspacetime.B:Theworldlineofafreeparticlebetweentwotimelikeseparatedpointsextremizesthepropertimebetweenthem.C:Thedistancealongalightrayiszero.D:Thetrajectoryofmassiveparticleisspacelikegeodesic.

答案:Geodesicisakindofanalogyofstraightlineincurvedspacetime.;Theworldlineofafreeparticlebetweentwotimelikeseparatedpointsextremizesthepropertimebetweenthem.;Thedistancealongalightrayiszero.

Whichofthefollowingarecorrectformofgeodesicsoftheplaneinpolarcoordinates?（）。

A:.B:.C:.D:.

答案:.;.

Thesolutionsforthegeodesicequationsforatwo-dimensionalflatplanearethestraightlines.（）

A:錯(cuò)B:對(duì)

答案:對(duì)

Fromthegeodesicequation

,

whatistheChristoffelsymbol?（）。

A:.B:.C:.D:.

答案:.

AboutthesymmetricityofChristoffelsymbol,whichstatementiscorrect?（）。

A:βandγareantisymmetric.B:αandβaresymmetric.C:αandγaresymmetric.D:βandγaresymmetric.

答案:βandγaresymmetric.

TheChristoffelsymbolsareequaltozeroinflatspacetime.（）

A:錯(cuò)B:對(duì)

答案:錯(cuò)

Forthespacetimemetric

,

whichofthefollowingcalculationsarecorrect?（）。

A:.B:.C:.D:.

答案:.;.

Forawormholegeometry

,

wehavetheradialequationofmotion

.

Foraradialmovingparticlewithinitialvelocity,howmuchtimeittakesforthisparticletomovefromr=r1ror=r2?(r1>r2)（）。

A:.B:.C:.D:.

答案:.

Thepropertimefornullgeodesicisalwayszero.（）

A:錯(cuò)B:對(duì)

答案:對(duì)

Incurvedspacetime,thetrajectoryoflightisbentbythegravitationalfield.（）

A:對(duì)B:錯(cuò)

答案:對(duì)

第九章測(cè)試

WhichofthefollowingstatementsarecorrectabouttheSchwarzschildsolution?（）。

A:Thissolutionisderivedinahospital.B:ThissolutionisgivenbyEinstein.C:Itisasphericallysymmetricsolution.D:Thisisthefirstexactsolutionofgeneralrelativity.

答案:Thissolutionisderivedinahospital.;Itisasphericallysymmetricsolution.;Thisisthefirstexactsolutionofgeneralrelativity.

WhichofthefollowingareKillingvectorsinSchwarzschildgeometry?（）。

A:.B:.C:.D:.

答案:.;.

WhichofthefollowingstatementsarecorrectabouttheSchwarzschildsolution?（）。

A:Ithasaphysicalsingularityatr=0.B:ThereisaphysicalsingularityatSchwarzschildradius.C:IthavetwoKillingfieldsintotal.D:Itisastaticsolution.

答案:Ithasaphysicalsingularityatr=0.;Itisastaticsolution.

Themassofthesunis.EstimatetheSchwarzschildradiusofthesun?（）。

A:1km.B:300km.C:10km.D:3km.

答案:3km.

Abeamoflightoffrequencyωmeasuredbystationaryobserverisemittedatradiusr=4M.Atwhatradiusitsfrequencymeasuredbystationaryobserverreducestoω/2?（）。

A:3M.B:12M.C:6M/5.D:8M/3.

答案:8M/3.

WhichofthefollowingistheconservedquantitycorrespondingtimeindependenceinSchwarzschildgeometry?（）。

A:.B:.C:.D:.

答案:.

WhichofthefollowingstatementsaboutmassiveparticlemovementinSchwazschildgeometryiscorrect?（）。

A:ParticlewithE=0.02willturnbacktothespatialinfinity.B:ParticlewithE=0.05willdohyperbolaemovement.C:ParticlewithE=0doesparabolaemovement.D:ParticlewithE=-0.02doescircularorbitmovement.

答案:ParticlewithE=0.02willturnbacktothespatialinfinity.

WhichofthefollowingstatementsiscorrectaboutlightdeflectioninSchwarzschildgeometry?（）。

A:Thedeflectionangledependsontheimpactparameter.B:Nomatterhowstrongthegravitationalfieldis,lightraywillneverdocircularorbit.C:ThisphenomenonalsohappensinNewtoniangravity.D:Thedeflectionanglebecomeslargerwithaheaviercentralstar.

答案:Thedeflectionanglebecomeslargerwithaheaviercentralstar.

WhichofthefollowingstatementsiscorrectaboutlightrayorbitsinSchwarzschildgeometry?（）。

A:Thereisastablecircularorbitatr=3M.B:Thereisainstablecircularorbitatr=3M.C:Thereisastablecircularorbitr=6M.D:Thereisainstablecircularorbitatr=6M.

答案:Thereisastablecircularorbitr=6M.

Theprecessionoftheperihelionandthelightdeflectionprovideuswithpossiblemethodofgravitationaltheoryexamination.（）

A:錯(cuò)B:對(duì)

答案:對(duì)

第十章測(cè)試

AgravitationaltheorymusthavecorrectNewtonianlimit.（）

A:對(duì)B:錯(cuò)

答案:對(duì)

Gravitationalredshiftexperimentisanimportantprobeoftheequivalenceprinciple.（）

A:對(duì)B:錯(cuò)

答案:對(duì)

WhatisthePPNparameterspredictedbygeneralrelativity?（）。

A:.B:.C:.D:.

答案:.

Whichofthefollowingisnotsolarsystemtestofgeneralrelativity?（）。

A:thedeflectionoflight.B:themergerofbinaryblackhole.C:thetimedelayoflight.D:theprecessionoftheperihelionofaplanetaryorbit.

答案:themergerofbinaryblackhole.

WhichofthefollowingcanbeusedtomeasurePPNparameterγ?（）。

A:thetimedelayoflight.B:thegravitationalredshift.C:thedeflectionoflight.D:theprecessionoftheperihelionofaplanetaryorbit.

答案:thetimedelayoflight.;thedeflectionoflight.;theprecessionoftheperihelionofaplanetaryorbit.

WhichofthefollowingcanbeusedtomeasurePPNparameterβ?（）。

A:theprecessionoftheperihelionofaplanetaryorbit.B:thetimedelayoflight.C:thegravitationalredshift.D:thedeflectionoflight.

答案:theprecessionoftheperihelionofaplanetaryorbit.

Whichofthefollowinghasthebiggestinfluencetotheprecisionofgravitationalredshiftexperiment?（）。

A:theprecisionofsignalfrequency.B:Dopplereffect.C:theprecisionoftheclock.D:theheightoftherocket.

答案:Dopplereffect.

GeneralrelativityistheonlygravitationaltheorywithPPNparameterβ=1andγ=1.（）

A:錯(cuò)B:對(duì)

答案:錯(cuò)

第十一章測(cè)試

Whatwillmetric

beafterthecoordinatetransformation?（）。

A:.B:.C:.D:.

答案:.

WhichofthefollowingarecorrectaboutthesingularityofSchwarzschildspacetime?（）。

A:Thesingularityatr=2Misacoordiantesingularity.B:Thesingularityatr=2Misaphysicalsingularity.C:Thesingularityatr=0isacoordinatesingularity.D:Thesingularityatr=0isaphysicalsingularity.

答案:Thesingularityatr=2Misacoordiantesingularity.;Thesingularityatr=0isaphysicalsingularity.

WhichofthefollowingisNOTworldlinesforradiallightrays?（）。

A:.B:.C:.D:.

答案:.

WhichofthefollowingiscorrectabouttheSchwarzschildmetric?（）。

A:Youwillneverbeabletogoinsider=2M.B:Youwillneverbeabletoreachr=0.C:Youwillneverbeabletocrossr=2M.D:Youwillbeabletocrossr=2Mforatmostonce.

答案:Youwillneverbeabletoreachr=0.;Youwillbeabletocrossr=2Mforatmostonce.

Theformationofablackhole.Whichofthefollowingarecorrectdescriptionofthepicture?（）。

A:Theorientationofthefuturelightconesatdifferentradiiont=constsurface.B:Thebottomsurfaceistheworldsheetsweptoutbythesurfaceofthecollapsingstarasitprogressestoasingularity.C:Theworldlineofanobserverfallingfreelythroughthehorizonandintothesingularity.D:TheverticalcylinderisthehorizonattheSchwarzschildradius.

答案:Theorientationofthefuturelightconesatdifferentradiiont=constsurface.;Thebottomsurfaceistheworldsheetsweptoutbythesurfaceofthecollapsingstarasitprogressestoasingularity.;Theworldlineofanobserverfallingfreelythroughthehorizonandintothesingularity.;TheverticalcylinderisthehorizonattheSchwarzschildradius.

WhichofthefollowingiscorrectabouttheKruskaldiagramsforSchwarzschildgeometry?（）。

A:a:eventhorizon,b:singularity,c:constantrline,d:timelikeworldline.B:a:eventhorizon,b:constantrline,c:singularity,d:timelikeworldline.C:a:eventhorizon,b:singularity,c:timellikeworldline,d:constantrline.D:a:singularity,b:eventhorizon,c:timellikeworldline,d:constantrline.

答案:a:singularity,b:eventhorizon,c:timellikeworldline,d:constantrline.

WhichofthefollowingiscorrectaboutthePenrosediagramforSchwarzschildgeometry?（）。

A:a:spacelikeinfinity,b:futurenullinfinity,c:eventhorizon,d:singularity.B:a:futurenullinfinity,b:spacelikeinfinity,c:singularity,d:eventhorizon.C:a:singularity,b:eventhorizon,c:futurenullinfinity,d:spacelikeinfinity.D:a:eventhorizon,b:singularity,c:spacelikeinfinity,d:futurenullinfinity.

答案:a:singularity,b:eventhorizon,c:futurenullinfinity,d:spacelikeinfinity.

WhichofthefollowingmetriccanNOTdescribeSchwarzschildspacetime?（）。

A:B:.C:.D:.

答案:.

Whichofthefollowingstatementsaboutthecoordinatechoicearecorrect?（）。

A:Kruskal-Szekerescoordinatesarethebasisforotherusefulrepresentationsofblack-holegeometry.B:Eddington-Finkelsteincoordinatesarenotveryusefulforanalyzingtheorbitsoftestparticlesandlightraysatlargedistancesfromtheblackhole.C:Kruskal-Szekerescoordinateshavetheviruteofworkingbothnearandfarfromtheblackhole.D:InsomerespectsthecausalpropertiesoftheSchwarzschildblackholearemoredirectlyrevealedinKruskal-SzekerescoordinatesthanintheEddingtong-Finkelsteinones.

答案:Kruskal-Szekerescoordinatesarethebasisforotherusefulrepresentationsofblack-holegeometry.;InsomerespectsthecausalpropertiesoftheSchwarzschildblackholearemoredirectlyrevealedinKruskal-SzekerescoordinatesthanintheEddingtong-Finkelsteinones.

第十二章測(cè)試

Whichofthefollowingastrophysicalobjectstypicallytheheaviest?（）。

A:BlackholeinX-raybinaries.B:Primordialblackholes.C:Blackholeingalaxycenters.D:neutronstar.

答案:Blackholeingalaxycenters.

WhatisthetypicalmassofblackholeinX-raybinaries?（）。

A:.B:.C:.D:.

答案:.

PBHwithmass（）evaporatetoday。

A:.B:.C:.D:.

答案:.;.;.

Whatisthetypicalfrequencybandofblackhole-neutralstarmerger?（）。

A:opticalband.B:microwaveband.C:X-rayband.D:γ-rayband.

答案:X-rayband.

Themassfunctionofbinaryblackholemergerdependsontheangleofinclinationoftheorbitalplanetothelineofsight.（）

A:錯(cuò)B:對(duì)

答案:對(duì)

Whatisthecorrectformofthefrequencycalculationofbinaryblackholemerger?（）。

A:.B:.C:.D:.

答案:.

WhichofthefollowingiscorrectaboutthefeatureofActiveGalaticNuclei?（）。

A:Theirspectrumisbroadandnonthermal.B:Theemittingregionhaslargesize.C:Theirluminosityisveryhigh.D:Theyhaveopticalorradiojetsoutflowingmatter.

答案:Theirspectrumisbroadandnonthermal.;Theirluminosityisveryhigh.;Theyhaveopticalorradiojetsoutflowingmatter.

Hawkingradiationresultsfromvacuumfluctuationscreatingparticle-antiparticlepairinthevicintyofBHhorizon.（）

A:對(duì)B:錯(cuò)

答案:對(duì)

第十三章測(cè)試

Accordingtotheweakversionofcosmiccensroshipconjecture,whereofthefollowinganakedsingularityisallowed?（）。

A:thestartofthebigbang.B:thesourceoffastradioburst.C:insideasphericalstar.D:inheaven.

答案:thestartofthebigbang.

Accordingtothestrongversionofcosmiccensorshipconjecture,theclassicalfateofallobserversshoulebepredictablefrominitialdata.（）

A:對(duì)B:錯(cuò)

答案:對(duì)

WhichofthefollowingsoftwaremayhelpyoutogettheKerrsolutionanalytically?（）。

A:Origin.B:Mathematica.C:Solidworks.D:Photoshop.

答案:Mathematica.

WhichofthefollowingstatementaboutthesymmetrypropertiesandKillingfieldsaboutKerrblackholearecorrect?（）。

A:SchwarzschildspacetimehasbettersymmetrythanKerrspacetime.B:isaKillingfieldofthespacetimerelatedtostationalsymmetry.C:isaKillingfieldofthespacetimerelatedtosphericalsymmetry.D:Ithas2independentKillingfields.

答案:SchwarzschildspacetimehasbettersymmetrythanKerrspacetime.;isaKillingfieldofthespacetimerelatedtostationalsymmetry.;Ithas2independentKillingfields.

WhichofthefollowingstatementaboutthesymmetrypropertiesandKillingfieldsaboutKerrblackholearecorrect?（）。

A:isaKillingfieldofthespacetimerelatedtosphericalsymmetry.B:SchwarzschildspacetimehasbettersymmetrythanKerrspacetime.C:isaKillingfieldofthespacetimerelatedtostationalsymmetry.D:Ithas2independentKillingfields.

答案:SchwarzschildspacetimehasbettersymmetrythanKerrspacetime.;isaKillingfieldofthespacetimerelatedtostationalsymmetry.;Ithas2independentKillingfields.

WhichofthefollowingstatementaboutthecoordinatesingularityofKerrspacetimearecorrect?（）。

ThemetricofKerrgeometryisgivenby

where

A:ThecoordinatesingularityofKerrspacetimeisjustlikethesingularityinSchwarzschildcoordinatesattheSchwarzschildradius.B:Therearecoordinatesingularitieswhere?vanishes.C:Therearetwocoordinatesingularitiesat.D:Therearetwocoordinatesingularitiesat.

答案:ThecoordinatesingularityofKerrspacetimeisjustlikethesingularityinSchwarzschildcoordinatesattheSchwarzschildradius.;Therearecoordinatesingularitieswhere?vanishes.;Therearetwocoordinatesingularitiesat.

WhereistherealsingularitiesofKerrspacetime?（）。

A:.B:.C:.D:.

答案:.

SchwarzschildsolutionandKerrsolutionaretheonlyallowedvacuumsolution.（）

A:錯(cuò)B:對(duì)

答案:錯(cuò)

WhichofthefollowingstatementaboutKerrblackholeiscorrect?（

）。

A:ThissolutionwasgivenbyKerr.B:Thesolutionissphericallysymmetric.C:Thissolutionhasthreeindependentparametera,JandM.D:ThereisanakedsingularityinsideKerrblackhole.

答案:ThissolutionwasgivenbyKerr.

第十四章測(cè)試

Ourcalculationinthissectionrequiresthatthegravitationalwaveisonlyasmallperturbation.（）

A:錯(cuò)B:對(duì)

答案:對(duì)

Whichofthefollowingfigureshowthegravitationalwavedescribedbythismetric?（）。

A:.B:.C:.D:.

答案:.

Forabeamofgravitationalwavepropagatingalongzaxis,howmanyindependentpolarizationsdoesithave?（）。

A:5.B:2.C:1.D:3.

答案:2.

Whichofthefollowingmetriccandescribegravitationalwavepropagatingalongydirection?（）。

A:.B:.C:.D:.

答案:.

IfthearmlengthofLIGOis4km,andtheamplitudeofthegravitationalwaveis.Trytoestimatethedistancechange?（）。

A:.B:.C:.D:.

答案:.

Whichofthefollowingarecorrectaboutthegravitationalwavedetection?（）。

A:Togetbigenoughsignal,thearmlengthshouldbeverylarge.B:Thedistancechangeisdetectedbylaserinterference.C:Theorient