Covariant approach for perturbations of rotationally symmetric spacetimes

2007/08/10 by Chris Clarkson · 6 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology #Cosmology and Gravitation Theories #Covariant transformation #Einstein #Field equation #Gauge theory #Invariant (physics) #Mathematical physics #Perturbation (astronomy) #Physics #Pulsars and Gravitational Waves Research #Quantum mechanics #Tetrad #Theoretical physics #gr-qc

paper · pdf · doi:10.1103/physrevd.76.104034

published as Phys.Rev.D76:104034,2007 · 13 pages

arxiv created 2007/08/10 · openalex publication_date 2007/11/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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 Lema\^\itre-Tolman-Bondi solutions or the class of locally rotationally symmetric Bianchi models.

Citations

• Stability of a Schwarzschild Singularity

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