作者: Philippe Grandclément , Alexandre Le Tiec
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摘要: For binary systems of corotating black holes, the zeroth law hole mechanics states that surface gravity is constant over each component horizon. Using approximation a conformally flat spatial metric, we compute sequences quasi-equilibrium initial data for binaries with irreducible mass ratios in range 10:1-1:1. orbits outside innermost stable one, found to be on apparent horizon at sub-percent level. We compare those numerical results analytical predictions from post-Newtonian theory fourth (4PN) order and perturbation linear ratio. find remarkably good agreement all considered, even strong-field regime. In particular, our findings confirm domain validity perturbative calculations appears extend well beyond extreme mass-ratio limit.