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Well-posedness of the scale-invariant tetrad formulation of the vacuum Einstein equations

Well-posedness of the scale-invariant tetrad formulation of the vacuum Einstein equations
Well-posedness of the scale-invariant tetrad formulation of the vacuum Einstein equations
We show that, with a small modification, the formulation of the Einstein equations of Uggla et al, which uses tetrad variables normalized by the expansion, is a mixed symmetric hyperbolic/parabolic system. Well-posedness of the Cauchy problem follows from a standard theorem.
0264-9381
2679-2686
Garfinkle, David
86794cf0-092b-4631-88e1-f36cd9edb394
Gundlach, Carsten
586f1eb5-3185-4b2b-8656-c29c436040fc
Garfinkle, David
86794cf0-092b-4631-88e1-f36cd9edb394
Gundlach, Carsten
586f1eb5-3185-4b2b-8656-c29c436040fc

Garfinkle, David and Gundlach, Carsten (2005) Well-posedness of the scale-invariant tetrad formulation of the vacuum Einstein equations. Classical and Quantum Gravity, 22 (13), 2679-2686. (doi:10.1088/0264-9381/22/13/011).

Record type: Article

Abstract

We show that, with a small modification, the formulation of the Einstein equations of Uggla et al, which uses tetrad variables normalized by the expansion, is a mixed symmetric hyperbolic/parabolic system. Well-posedness of the Cauchy problem follows from a standard theorem.

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More information

Published date: 7 July 2005
Additional Information: PACS numbers: 04.20.Ex, 04.25.Dm, 98.80.Jk

Identifiers

Local EPrints ID: 29199
URI: http://eprints.soton.ac.uk/id/eprint/29199
ISSN: 0264-9381
PURE UUID: 0740d7da-3064-4b29-842f-f1fad9e2edfa
ORCID for Carsten Gundlach: ORCID iD orcid.org/0000-0001-9585-5375

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Date deposited: 10 May 2006
Last modified: 16 Mar 2024 03:15

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Contributors

Author: David Garfinkle

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