Gauge-invariant perturbations on most general spherically symmetric space-times

Details Gauge-invariant perturbations on most general spherically symmetric space-times Gauge-invariant perturbations on most general spherically symmetric space-times

Apr 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979phrvd..19.2268g&link_type=abstract

Physical Review D (Particles and Fields), Volume 19, Issue 8, 15 April 1979, pp.2268-2272

Astronomy and Astrophysics

Astrophysics

86

Scientific paper

The Einstein field equations and the conservation equations linearized around a most general (astrophysically relevant) spherically symmetric space-time are reduced to a set of equations for gauge-invariant geometrical objects defined on the two-dimensional timelike submanifold spanned by the radial and time coordinates. Odd-parity metric and matter perturbations are each expressed in terms of a vector field, matter perturbations in terms of an additional scalar field on this submanifold. Even-parity perturbations are expressed in terms of a symmetric tensor field and a scalar field for the metric and in terms of two scalars, a vector, and a symmetric tensor field for matter. The odd-parity vectorial perturbations are derivable from a single master scalar equation, and their junction conditions across the surface of a collapsing star are given.

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