An exact time-dependent interior Schwarzschild solution

Philip Beltracchi and Paolo Gondolo
Phys. Rev. D 99, 084021 – Published 12 April 2019

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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  • Received 10 March 2019

DOI:https://doi.org/10.1103/PhysRevD.99.084021

© 2019 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Philip Beltracchi* and Paolo Gondolo

  • Department of Physics and Astronomy, University of Utah, 115 South 1400 East Suite 201, Salt Lake City, Utah 84012-0830, USA

  • *phipbel@aol.com
  • paolo.gondolo@utah.edu

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Issue

Vol. 99, Iss. 8 — 15 April 2019

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