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  The asymptotic of static isolated systems and a generalized uniqueness for Schwarzschild

Reiris, M. (2015). The asymptotic of static isolated systems and a generalized uniqueness for Schwarzschild. Classical and quantum gravity, 32(19): 195001. doi:10.1088/0264-9381/32/19/195001.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0028-FE37-E Version Permalink: http://hdl.handle.net/21.11116/0000-0002-9ABA-F
Genre: Journal Article

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 Creators:
Reiris, Martin1, Author              
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1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc
 Abstract: It is proved that any static system that is spacetime-geodesically complete at infinity, and whose spacelike-topology outside a compact set is that of R^3 minus a ball, is asymptotically flat. The matter is assumed compactly supported and no energy condition is required. A similar (though stronger) result applies to black holes too. This allows us to state a large generalisation of the uniqueness of the Schwarzschild solution not requiring asymptotic flatness. The Korotkin-Nicolai static black-hole shows that, for the given generalisation, no further flexibility in the hypothesis is possible.

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 Dates: 2015-01-062015
 Publication Status: Published in print
 Pages: 13 pages, 1 figure
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1501.01180
DOI: 10.1088/0264-9381/32/19/195001
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Title: Classical and quantum gravity
Source Genre: Journal
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Publ. Info: Bristol, U.K. : Institute of Physics
Pages: - Volume / Issue: 32 (19) Sequence Number: 195001 Start / End Page: - Identifier: ISSN: 0264-9381
CoNE: /journals/resource/954925513480_1