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arxiv: 1902.07827 · v1 · pith:ZGK25WQAnew · submitted 2019-02-21 · 🌀 gr-qc

An exact time-dependent interior Schwarzschild solution

classification 🌀 gr-qc
keywords radiusschwarzschildsolutionexactinteriorsingularitytime-dependentappears
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We present a time-dependent uniform-density interior Schwarzschild solution, an exact solution to the Einstein field equations. Our solution describes the collapse (or the time-reversed expansion) of an object from an infinite radius to an intermediate radius of 9/8 of the Schwarzschild radius, at which time a curvature singularity appears at the origin, and then continues beyond the singularity to a gravastar with radius equal to the Schwarzschild radius.

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