Darmois matching and $C^3$ matching
General Relativity and Quantum Cosmology
2022-01-25 v3
Abstract
We apply the Darmois and the matching conditions to three different spherically symmetric spacetimes. The exterior spacetime is described by the Schwarzschild vacuum solution whereas for the interior counterpart we choose different perfect fluid solutions with the same symmetry. We show that Darmois matching conditions are satisfied in all three cases whereas the conditions are not fulfilled. We argue that this difference is due to a non-physical behavior of the pressure on the matching surface.
Keywords
Cite
@article{arxiv.2106.08679,
title = {Darmois matching and $C^3$ matching},
author = {Antonio Calixto Gutiérrez-Piñeres and Hernando Quevedo},
journal= {arXiv preprint arXiv:2106.08679},
year = {2022}
}
Comments
Replaced with the version matching the published one in CQG