Martin-Garcia, José M. and Gundlach, Carsten
Gauge-invariant and coordinate-independent perturbations of stellar collapse. II: Matching to the exterior
Physical Review D, 64, (2), . (doi:10.1103/PhysRevD.64.024012).
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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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