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  Hyperboloidal initial data for the vacuum Einstein equations with cosmological constant

Kannar, J. (1996). Hyperboloidal initial data for the vacuum Einstein equations with cosmological constant. Classical and Quantum Gravity, 13(11), 3075-3084.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5B11-E Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5B12-C
Genre: Journal Article

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hyperboloidal.pdf (Publisher version), 100KB
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 Creators:
Kannar, Janos1, Author
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1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24012              

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 Abstract: The existence of smooth hyperboloidal initial data sets for the vacuum Einstein equations with non-zero cosmological constant is studied. Supposing that the trace of the (physical) second fundamental form of the initial hypersurface is constant, there is a correspondence between the solutions of the vacuum constraints with and without cosmological constant, respectively. This enables us to extend the results proved by Andersson and Chrusciel about the smoothness of the initial data with zero cosmological constant to the case .

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 Dates: 1996-11
 Publication Status: Published in print
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 Identifiers: eDoc: 330121
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Title: Classical and Quantum Gravity
  Alternative Title : Class. Quantum Grav.
Source Genre: Journal
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Pages: - Volume / Issue: 13 (11) Sequence Number: - Start / End Page: 3075 - 3084 Identifier: ISSN: 0264-9381