Gauge-invariant and coordinate-independent perturbations of stellar collapse II: matching to the exterior

Carsten Gundlach; Jose M. Martin-Garcia

Gauge-invariant and coordinate-independent perturbations of stellar collapse II: matching to the exterior

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arxiv gr-qc/0012056 v1 pith:YXACEHWJ submitted 2000-12-15 gr-qc

Jose M. Martin-Garcia , Carsten Gundlach This is my paper · ORCID

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keywords perturbationsstargauge-invariantinteriormatchingspacetimeapplicationboundary

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In Paper I in this series we constructed evolution equations for the complete gauge-invariant linear perturbations of a time-dependent spherically symmetric perfect fluid spacetime. A key application of this formalism is the interior of a collapsing star. Here we derive boundary conditions at the surface of the star, matching the interior perturbations to the well-known perturbations of the vacuum Schwarzschild spacetime outside the star.

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Perturbations of relativistic dissipative stars
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Linearized perturbations of relativistic stars with BDNK viscosity reduce to two coupled wave equations in the axial sector and five coupled wave equations plus a constraint in the polar sector, including a new viscous mode.

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