引力波天文學(xué)與理論模型引力波理論建模課件

1、數(shù)值相對(duì)論與引力波建模的一些新進(jìn)展Zhoujian Cao (曹周鍵)Department of Astronomy, BNU2018-5-23第二屆引力波天體物理學(xué)術(shù)研討會(huì)ContentCurrent state of GW theoretical modelFinite element method to NRTheoretical model to eccentric binary systemSummary and prospect引力波探測(cè)數(shù)據(jù)是典型的強(qiáng)噪聲、弱信號(hào)匹配濾波方法是引力波數(shù)據(jù)處理的理想方法引力波理論模型可以在既定硬件靈敏度的基礎(chǔ)上很好地提高引力波探測(cè)的能力GW15122

2、6?13, 5sigma引力波理論模型是波源參數(shù)反演的基礎(chǔ)雙黑洞?雙中子星?星體質(zhì)量、自旋？引力波天文學(xué)與理論模型引力波理論建模針對(duì)實(shí)際的波源天體，求解愛(ài)因斯坦方程沒(méi)有對(duì)稱性，解析解基本沒(méi)有希望在極端條件下，近似方法失效數(shù)值計(jì)算成為主要依賴的方法(數(shù)值相對(duì)論NR) Current problems faced by NRCurrent NR codesPDE form used by AMSS-NCKUPDE form for FEFE numerical schemeCao, Fu, Ji, and Xia, 2018Shock forms, but really stable!Consis

3、tent to PDE property of non-linearly degenerateMore flexible than PSConvergence behavior better than FD, 4th vs 2ndMore accurate than FD, 2 orders betterComputation cost of NR10 orbits, 256 CPUs, 7daysGW150914: 4 orbits GW151226: 28 orbits3days x 250000 = 2055 years (256CPUs)GW150914State of art for

4、 EOBNRTotal mass: 0MMass ratio: 1q20 GW150914 (1.24), LVT151012 (1.77), GW151226 (1.89), GW170104 (1.61), GW170608 (1.71), GW170814 (1.21)Spin: -1s0.9 GW150914 (0.24), LVT151012 (0.3), GW151226 (0.35), GW170104 (0.42), GW170608 (0.3), GW170814 (0.18)Precession simplified (BCV) GW150914, LVT151012 &

5、GW151226 assume no precession, GW170104, GW170608 & GW170814 gain little constrain on precessione = 0 All announced BBH GW events assumedLSC, ApJ 818, L22 (2016)Binary Black Hole with eccentric orbitPlausible source for LIGOMany sources for LISASEOBNRE modelAssume small eccentricity expansion (c) pa

6、rt effectively more than 4 PN Elip part about 2PNCao & Han, PRD 96, 044028 (2017)Not like adiabatic approximated model, consistent check for e=0 caseCompare to standard answer NRm1:m2 = 1:1e = 0.02m1:m2 = 1:5e = 0.02m1:m2 = 1:1e = 0.2m1:m2 = 1:1000e = 0.3a = 0.9a = 0.5a =-0.5a =-0.9ax-model for eccentric BBHadiabatic approximation modelm1:m2 = 1:1e = 0.3More accurate than adiabatic model for later inspiral and merger初步發(fā)展有限元數(shù)值相對(duì)論算法，希望實(shí)現(xiàn)大質(zhì)量比雙星系統(tǒng)和中子星雙星系統(tǒng)準(zhǔn)確建模描述橢圓軌道雙黑洞系統(tǒng)的引力波理論模型SE