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Journal Article

Spacetimes admitting isolated horizons.

MPS-Authors

Lewandowski,  Jerzy
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

9907058v2.pdf
(Preprint), 118KB

q004l1.pdf
(Publisher version), 89KB

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Citation

Lewandowski, J. (2000). Spacetimes admitting isolated horizons. Classical and Quantum Gravity, 17(4), L53-L59. doi:10.1088/0264-9381/17/4/101.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0013-5745-7
Abstract
We characterize a general solution to the vacuum Einstein equations which admits isolated horizons. We show that it is a nonlinear superposition (in a 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.