A covariant approach for perturbations of rotationally symmetric spacetimes - General Relativity and Quantum CosmologyReport as inadecuate




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Abstract: We present a covariant decomposition of Einstein-s Field Equations which isparticularly suitable for perturbations of spherically symmetric - and generallocally rotationally symmetric - spacetimes. Based upon the utility of the 1+3covariant approach to perturbation theory in cosmology, the semi-tetrad, 1+1+2approach presented here should be useful for analysing perturbations of avariety of systems in a covariant and gauge-invariant manner. Such applicationsrange from stellar objects to cosmological models such as the sphericallysymmetric Lemaitre-Tolman-Bondi solutions or the class of locally rotationallysymmetric Bianchi models.



Author: Chris Clarkson Cape Town

Source: https://arxiv.org/



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