A covariant approach for perturbations of rotationally symmetric spacetimes

Details A covariant approach for perturbations of rotationally symmetric spacetimes A covariant approach for perturbations of rotationally symmetric spacetimes

2007-08-10

arxiv.org/abs/0708.1398v1

Phys.Rev.D76:104034,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages

Scientific paper

10.1103/PhysRevD.76.104034

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 analysing 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.

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