English

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}
}
R2 v1 2026-06-23T07:46:36.234Z