Study of Conformally Flat Initial Data for Highly Spinning Black Holes and their Early Evolutions

Details Study of Conformally Flat Initial Data for Highly Spinning Black Holes and their Early Evolutions Study of Conformally Flat Initial Data for Highly Spinning Black Holes and their Early Evolutions

2012-03-14

arxiv.org/abs/1203.3223v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, 5 figures

Scientific paper

We study conformally-flat initial data for an arbitrary number of spinning black holes with exact analytic solutions to the momentum constraints constructed from a linear combination of the classical Bowen-York and conformal Kerr extrinsic curvatures. The solution leading to the largest intrinsic spin, relative to the ADM mass of the spacetime epsilon_S=S/M^2_{ADM}, is a superposition with relative weights of Lambda=0.783 for conformal Kerr and (1-Lambda)=0.217 for Bowen-York. In addition, we measure the spin relative to the initial horizon mass M_{H_0}, and find that the quantity chi=S/M_{H_0}^2 reaches a maximum of \chi^{max}=0.9856 for Lambda=0.753. After equilibration, the final black-hole spin should lie in the interval 0.9324

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