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Covariant approach for perturbations of rotationally symmetric spacetimes

Journal Article · · Physical Review. D, Particles Fields
 [1]
  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, Journal Name: Physical Review. D, Particles Fields Journal Issue: 10 Vol. 76; ISSN PRVDAQ; ISSN 0556-2821
Country of Publication:
United States
Language:
English

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