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  Spacetimes admitting isolated horizons.

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

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5745-7 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5746-5
Genre: Journal Article

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 Creators:
Lewandowski, Jerzy1, Author
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1Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24013              

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 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.

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 Dates: 2000-02-21
 Publication Status: Published in print
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 Identifiers: eDoc: 206201
URI: http://xxx.lanl.gov/archive/gr-qc/
Other: arXiv:gr-qc/9907058v2
DOI: 10.1088/0264-9381/17/4/101
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Title: Classical and Quantum Gravity
Source Genre: Journal
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Pages: - Volume / Issue: 17 (4) Sequence Number: - Start / End Page: L53 - L59 Identifier: ISSN: 0264-9381