Covariant approach for perturbations of rotationally symmetric spacetimes

Journal Article · Thu Nov 15 00:00:00 EST 2007 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.76.104034· OSTI ID:21027860

Clarkson, Chris ^[1]

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1. Cosmology and Gravity Group, Department of Mathematics and Applied Mathematics, University of Cape Town, Rondebosch 7701, Cape Town (South Africa)

We present a covariant decomposition of Einstein's field equations which is particularly suitable for perturbations of spherically symmetric - and general locally rotationally symmetric - spacetimes. Based upon the utility of the 1+3 covariant approach to perturbation theory in cosmology, the semi-tetrad, 1+1+2 approach presented here should be useful for analyzing perturbations of a variety of systems in a covariant and gauge-invariant manner. Such applications range from stellar objects to cosmological models such as the spherically symmetric Lemaitre-Tolman-Bondi solutions or the class of locally rotationally symmetric Bianchi models.

• OSTI ID: 21027860
• Journal Information: Physical Review. D, Particles Fields, Vol. 76, Issue 10; Other Information: DOI: 10.1103/PhysRevD.76.104034; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COSMOLOGICAL MODELS
COSMOLOGY
DISTURBANCES
EINSTEIN FIELD EQUATIONS
GAUGE INVARIANCE
MATHEMATICAL SOLUTIONS
PERTURBATION THEORY
SPACE-TIME