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arXiv · 1902.07827

An exact time-dependent interior Schwarzschild solution

Philip Beltracchi·Paolo Gondolo
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Abstract

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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Philip Beltracchi, Paolo Gondolo. 2019-02-21. An exact time-dependent interior Schwarzschild solution. https://doi.org/10.1103/physrevd.99.084021

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