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In Paper I in this series we constructed evolution equations for the completegauge-invariant linear perturbations of a time-dependent spherically symmetricperfect fluid spacetime. A key application of this formalism is the interior ofa collapsing star. Here we derive boundary conditions at the surface of thestar, matching the interior perturbations to the well-known perturbations ofthe vacuum Schwarzschild spacetime outside the star.Comment: 18 pages, RevTe

Gauge-invariant and coordinate-independent perturbations of stellar collapse. II. Matching to the exterior