Non-singular "Gauss'' black hole from non-locality
arXiv:2104.00555 · doi:10.3390/universe11040112
Abstract
Cutting out an infinite tube around formally removes the Schwarzschild singularity, but without a physical mechanism this procedure seems ad hoc and artificial. In this paper we provide justification for such a mechanism by means of non-locality. Motivated by the Gauss law we define a suitable radius variable as the inverse of a regular non-local potential, and use this variable to model a non-singular black hole. The resulting geometry has a de\,Sitter core, and for generic values of the regulator there is \emph{no inner horizon}, saving this model from potential issues via mass inflation. An \emph{outer} horizon only exists for masses above a critical threshold, thereby reproducing the conjectured ``mass gap'' for black holes in non-local theories. The geometry's density and pressure terms decrease exponentially, thereby rendering it an almost-exact vacuum solution of the Einstein equations outside of astrophysical black holes. Its thermodynamic properties resemble that of the Hayward black hole, with the notable exception that for critical mass the horizon radius is zero.
20 pages, 7 figures, matches the published version
References in corpus (28)
- Formation and evaporation of non-singular black holes
- Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics
- Noncommutative geometry inspired Schwarzschild black hole
- Towards singularity and ghost free theories of gravity
- Super-renormalizable Quantum Gravity
- Renormalization group improved black hole spacetimes
- Bouncing Universes in String-inspired Gravity
- Notes on non-singular models of black holes
- Black-bounce to traversable wormhole
- Black holes in an ultraviolet complete quantum gravity
- Information loss problem and a `black hole' model with a closed apparent horizon
- Geodesically complete black holes
- Mass-gap for black hole formation in higher derivative and ghost free gravity
- Regular black holes with asymptotically Minkowski cores
- A model of radiating black hole in noncommutative geometry
- Ghost-free infinite derivative quantum field theory
- Behavior of the Newtonian potential for ghost-free gravity and singularity-free gravity
- Quantum Corrected Black Holes from String T-Duality
- Trace Anomaly in Quantum Spacetime Manifold
- Quantum radiation from an evaporating non-singular black hole
- Spacetime completeness of non-singular black holes in conformal gravity
- Regular black holes with stable cores
- The gravitational field of static p-branes in linearized ghost-free gravity
- Quantum gravitational collapse: non-singularity and non-locality
- Regular Stringy Black Holes?
- Non-local (but also non-singular) physics at the last stages of gravitational collapse
- Effective delta sources and regularity in higher-derivative and ghost-free gravity
- Black-hole solution without curvature singularity