Black Hole Initial Data with a Horizon of Prescribed Geometry

Details Black Hole Initial Data with a Horizon of Prescribed Geometry Black Hole Initial Data with a Horizon of Prescribed Geometry

2007-10-04

arxiv.org/abs/0710.1005v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1007/s10714-008-0688-3

The purpose of this work is to construct asymptotically flat, time symmetric initial data with an apparent horizon of prescribed intrinsic geometry. To do this, we use the parabolic partial differential equation for prescribing scalar curvature. In this equation the horizon geometry is contained within the freely specifiable part of the metric. This contrasts with the conformal method in which the geometry of the horizon can only be specified up to a conformal factor.

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