An exact time-dependent interior Schwarzschild solution
General Relativity and Quantum Cosmology
2019-04-17 v1
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.
Keywords
Cite
@article{arxiv.1902.07827,
title = {An exact time-dependent interior Schwarzschild solution},
author = {Philip Beltracchi and Paolo Gondolo},
journal= {arXiv preprint arXiv:1902.07827},
year = {2019}
}