Hangil choi Seoul National university

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Presentation transcript:

Hangil choi Seoul National university Effective-One-body BBH construction for Numerical Relativity BBH Initial data Hangil choi Seoul National university Icgac-xiii&IK15 july 04, 2017

Precessing BBH model is essential for GW analysis! Motivation Needs of Precessing BBH model Abbott et al. (2017) GW 150914 GW 151216 GW 170104 −0.06 −0.14 +0.14 0.21 −0.10 +0.20 −0.12 −0.30 +0.21 : Effective inspiral spin. Non-trivial spin directions Precessing BBH model is essential for GW analysis! 2019-02-24

Motivation BBH space-time BBH Models Approximation Post-Newtonian formalism Effective-One-Body formalism Full General Relativity Numerical Relativity Ultimate Goal! Initial data BBH space-time 2019-02-24

Motivation Quasi-Circular(Spherical) Orbit Orbit of BBH near merger Due to GW emission (Peters (1963)) Quasi-Circular initial data Husa (2008), Tichy (2011), Healy (2017) - PN Pürrer (2012) – EOB Motivation of EOB model construction Ruchlin (2017) 2019-02-24

Effective One Body Formalism Effective One Body Model BBH Test particle + Curved metric Buonanno (1999) 2019-02-24

Effective One Body Formalism Effective One Body Model Equation of motion – ODE Fast calculation Good approximation Even near merger Buonanno (2009) 2019-02-24

Effective One Body Formalism Effective One Body Model Hamiltonian of test mass Specific form : SEOBNRv4 (Bohé (2017)) Hamiltonian equation of motion 2019-02-24

Aligned/Anti-Aligned BBH EOB construction Difficulties in memory management Too many dynamic variables 6 dim Aligned/Anti-Aligned BBH 12 dim General BBH Equation of motions are too heavy! I could not run a integration code on my PC(16 GB memory). 2019-02-24

EOB construction Change of variables Cartesian basis to Orthonormal triad Change of spin variables 2019-02-24

EOB construction New equation of motion 18 dim Each terms are simpler then it were in cartesian. 2019-02-24

EOB results Non-spinning BBH mass ratio m1/m2=2 2019-02-24

EOB results Non-spinning BBH mass ratio m1/m2=2 2019-02-24

Thank You! Future works Comparison with NR waveform Verifying existence of Innermost Stable Circular Orbit(ISCO) for any (anti)aligned spin parameters Comparison with NR waveform Applying Pürrer’s method for NR BBH To confirm accuracy Thank You! 2019-02-24