Consistency of dust solutions with div H=0

R. Maartens; W. M. Lesame; G. F. R. Ellis

doi:10.1103/PhysRevD.55.5219

Consistency of dust solutions with div H=0

R. Maartens, W. M. Lesame, G. F. R. Ellis

Institute of Cosmology & Gravitation

University of KwaZulu-Natal

Research output: Contribution to journal › Article › peer-review

Abstract

One of the necessary covariant conditions for gravitational radiation is the vanishing of the divergence of the magnetic Weyl tensor H_ab, while H_abitself is nonzero. We complete a recent analysis by showing that in irrotational dust spacetimes the condition div H=0 evolves consistently in the exact nonlinear theory.

Original language	English
Pages (from-to)	5219-5221
Number of pages	3
Journal	Physical Review D
Volume	55
Issue number	8
DOIs	https://doi.org/10.1103/PhysRevD.55.5219
Publication status	Published - 15 Apr 1997

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title = "Consistency of dust solutions with div H=0",

abstract = "One of the necessary covariant conditions for gravitational radiation is the vanishing of the divergence of the magnetic Weyl tensor Hab, while Hab itself is nonzero. We complete a recent analysis by showing that in irrotational dust spacetimes the condition div H=0 evolves consistently in the exact nonlinear theory.",

author = "R. Maartens and Lesame, \{W. M.\} and Ellis, \{G. F. R.\}",

year = "1997",

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AU - Lesame, W. M.

AU - Ellis, G. F. R.

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N2 - One of the necessary covariant conditions for gravitational radiation is the vanishing of the divergence of the magnetic Weyl tensor Hab, while Hab itself is nonzero. We complete a recent analysis by showing that in irrotational dust spacetimes the condition div H=0 evolves consistently in the exact nonlinear theory.

AB - One of the necessary covariant conditions for gravitational radiation is the vanishing of the divergence of the magnetic Weyl tensor Hab, while Hab itself is nonzero. We complete a recent analysis by showing that in irrotational dust spacetimes the condition div H=0 evolves consistently in the exact nonlinear theory.

U2 - 10.1103/PhysRevD.55.5219

DO - 10.1103/PhysRevD.55.5219

M3 - Article

SN - 0556-2821

VL - 55

SP - 5219

EP - 5221

JO - Physical Review D

JF - Physical Review D

IS - 8

ER -

Consistency of dust solutions with div H=0

Abstract

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