High accuracy simulations of black hole binaries:spins anti-aligned with the orbital angular momentum

الأصل · EN

High-accuracy binary black hole simulations are presented for black holes with spins anti-aligned with the orbital angular momentum. The particular case studied represents an equal-mass binary with spins of equal magnitude S/m²=0.43757 ± 0.00001. The system has initial orbital eccentricity 4e-5, and is evolved through 10.6 orbits plus merger and ringdown. The remnant mass and spin are Mf=(0.961109 ± 0.000003)M and Sf/Mf²=0.54781 ± 0.00001, respectively, where M is the mass during early inspiral. The gravitational waveforms have accumulated numerical phase errors of < 0.1 radians without any time or phase shifts, and < 0.01 radians when the waveforms are aligned with suitable time and phase shifts. The waveform is extrapolated to infinity using a procedure accurate to < 0.01 radians in phase, and the extrapolated waveform differs by up to 0.13 radians in phase and about one percent in amplitude from the waveform extracted at finite radius r=350M. The simulations employ different choices for the constraint damping parameters in the wave zone; this greatly reduces the effects of junk radiation, allowing the extraction of a clean gravitational wave signal even very early in the simulation.