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

Abstract

We present a stationary spherically symmetric solution of the Einstein equations, with a source generated by a scalar field of $q$-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.

Latex, 14 figures, 28 pages

References in corpus (8)

• New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
• Three-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Temperature Analysis
• The Cosmological Constant and the String Landscape
• Self-tuning vacuum variable and cosmological constant
• Dynamic vacuum variable and equilibrium approach in cosmology
• The End of a Black Hole's Evaporation -- Part II
• Type-II Weyl semimetal vs gravastar
• Theories for the Fermi Scale