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  A variational principle for stationary, axisymmetric solutions of Einstein's equations

Dain, S. (2006). A variational principle for stationary, axisymmetric solutions of Einstein's equations. Classical and Quantum Gravity, 23(23), 6857-6871.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4A4B-6 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4A4C-4
Genre: Journal Article

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cqg6_23_016.pdf (Publisher version), 189KB
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 Creators:
Dain, Sergio1, Author
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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 Abstract: Stationary, axisymmetric, vacuum, solutions of Einstein's equations are obtained as critical points of the total mass among all axisymmetric and (t, phi) symmetric initial data with fixed angular momentum. In this variational principle, the mass is written as a positive definite integral over a spacelike hypersurface. It is also proved that if an absolute minimum exists then it is equal to the absolute minimum of the mass among all maximal, axisymmetric, vacuum, initial data with fixed angular momentum. Arguments are given to support the conjecture that this minimum exists and is the extreme Kerr initial data.

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Language(s): eng - English
 Dates: 2006-12-07
 Publication Status: Published in print
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 Identifiers: eDoc: 298044
ISI: 000242220900017
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Title: Classical and Quantum Gravity
  Alternative Title : Class. Quantum Gravity
Source Genre: Journal
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Pages: - Volume / Issue: 23 (23) Sequence Number: - Start / End Page: 6857 - 6871 Identifier: ISSN: 0264-9381