Binary Black Holes in Quasi-Stationary Circular Orbits

摘要: We propose a method of determining solutions to the constraint equations General Relativity approximately describing binary black holes in quasi-stationary circular orbits. Black with arbitrary linear momenta are constructed manner suggested by Brandt and Brugmann. The orbits determined local minima ADM mass similar Baumgarte Cook; however, rather than fixing area apparent horizon, we fix value bare masses holes. numerically generate an evolutionary sequence up including innermost stable orbit. compare our results post-Newtonian expectations as well Cook Baumgarte. also additional numerical dynamics geometry due emission gravitational radiation.