English

Gravastar-like black hole solutions in $q$-theory

General Relativity and Quantum Cosmology 2023-07-26 v2

Abstract

We present a stationary spherically symmetric solution of the Einstein equations, with a source generated by a scalar field of qq-theory. In this theory Riemannian gravity, as described by the Einstein - Hilbert action, is coupled to a three - form field that describes the dynamical vacuum. Formally it behaves like a matter field with its own stress - energy tensor, equivalent to a scalar field minimally coupled to gravity. The asymptotically flat solutions obtained to the field equations represent black holes. For a sufficiently large horizon radius the energy density is localized within a thin spherical shell situated just outside of the horizon, analogous to a gravastar. The resulting solutions to the field equations, which admit this class of configurations, satisfy existence conditions that stem from the Black Hole no - hair theorem, thanks to the presence of a region in space in which the energy density is negative.

Keywords

Cite

@article{arxiv.2301.02914,
  title  = {Gravastar-like black hole solutions in $q$-theory},
  author = {M. Selch and J. Miller and M. A. Zubkov},
  journal= {arXiv preprint arXiv:2301.02914},
  year   = {2023}
}

Comments

Latex, 14 figures, 28 pages