Prolate horizons and the Penrose inequality

Details Prolate horizons and the Penrose inequality Prolate horizons and the Penrose inequality

2009-01-08

arxiv.org/abs/0901.1125v2

Phys.Rev.D79:104008,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages, 5 figures

Scientific paper

10.1103/PhysRevD.79.104008

The Penrose inequality has so far been proven in cases of spherical symmetry and in cases of zero extrinsic curvature. The next simplest case worth exploring would be non-spherical, non-rotating black holes with non-zero extrinsic curvature. Following Karkowski et al.'s construction of prolate black holes, we define initial data on an asymptotically flat spacelike 3-surface with nonzero extrinsic curvature that may be chosen freely. This gives us the freedom to define the location of the apparent horizon such that the Penrose inequality is violated. We show that the dominant energy condition is violated at the poles for all cases considered.

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