Schwarzschild phase without a black hole
Abstract
We present a smooth extension of the Schwarzschild exterior geometry, where the singular interior is superceded by a vacuum phase with vanishing metric determinant. Unlike the Kruskal-Szekeres continuation, this solution to the first-order field equations in vacuum has no singularity in the curvature two-form fields, no horizon and no global time. The underlying non-analytic structure provides a distinct geometric realization of `mass' in classical gravity. We also find that the negative mass Schwarzschild solution does not admit a similar extension within the first-order theory. This is consistent with the general expectation that degenerate metric solutions associated with the Hilbert-Palatini Lagrangian formulation should satisfy the energy conditions.
Cite
@article{arxiv.1908.05312,
title = {Schwarzschild phase without a black hole},
author = {Sandipan Sengupta},
journal= {arXiv preprint arXiv:1908.05312},
year = {2019}
}
Comments
To be published in the MG15 conference proceedings (based on the talk at the 15th Marcel Grossman Meeting on General Relativity, Rome, July 2018)