Black supernovae and black holes in non-local gravity

  • Cosimo Bambi
  • Daniele Malafarina
  • Leonardo Modesto
Open Access
Regular Article - Theoretical Physics

Abstract

In a previous paper, we studied the interior solution of a collapsing body in a non-local theory of gravity super-renormalizable at the quantum level. We found that the classical singularity is replaced by a bounce, after which the body starts expanding. A black hole, strictly speaking, never forms. The gravitational collapse does not create an event horizon but only an apparent one for a finite time. In this paper, we solve the equations of motion assuming that the exterior solution is static. With such an assumption, we are able to reconstruct the solution in the whole spacetime, namely in both the exterior and interior regions. Now the gravitational collapse creates an event horizon in a finite comoving time, but the central singularity is approached in an infinite time. We argue that these black holes should be unstable, providing a link between the scenarios with and without black holes. Indeed, we find a non catastrophic ghost-instability of the metric in the exterior region. Interestingly, under certain conditions, the lifetime of our black holes exactly scales as the Hawking evaporation time.

Keywords

Black Holes Models of Quantum Gravity Spacetime Singularities 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Copyright information

© The Author(s) 2016

Authors and Affiliations

  • Cosimo Bambi
    • 1
    • 2
  • Daniele Malafarina
    • 3
  • Leonardo Modesto
    • 1
  1. 1.Center for Field Theory and Particle Physics and Department of PhysicsFudan UniversityShanghaiChina
  2. 2.Theoretical AstrophysicsEberhard-Karls Universität TübingenTübingenGermany
  3. 3.Department of PhysicsNazarbayev UniversityAstanaKazakhstan

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