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

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.

preprint2000arXivOpen access
Jose M. Martin-GarciaCarsten Gundlach
gr-qc
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Jose M. Martin-GarciaCarsten Gundlach

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