Space-Times Admitting Isolated Horizons

Details Space-Times Admitting Isolated Horizons Space-Times Admitting Isolated Horizons

1999-07-19

arxiv.org/abs/gr-qc/9907058v2

Class.Quant.Grav.17:L53-L59,2000

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, no figures

Scientific paper

10.1088/0264-9381/17/4/101

We characterize a general solution to the vacuum Einstein equations which admits isolated horizons. We show it is a non-linear superposition -- in precise sense -- of the Schwarzschild metric with a certain free data set propagating tangentially to the horizon. This proves Ashtekar's conjecture about the structure of spacetime near the isolated horizon. The same superposition method applied to the Kerr metric gives another class of vacuum solutions admitting isolated horizons. More generally, a vacuum spacetime admitting any null, non expanding, shear free surface is characterized. The results are applied to show that, generically, the non-rotating isolated horizon does not admit a Killing vector field and a spacetime is not spherically symmetric near a symmetric horizon.

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