The fate of Schwarzschild-de Sitter Black Holes in $f(R)$ gravity

Abstract

The semiclassical effects of antievaporating black holes can be discussed in the framework of $f(R)$ gravity. In particular, the Bousso-Hawking-Nojiri-Odinstov antievaporation instability of degenerate Schwarzschild-de Sitter black holes (the so called Nariai space-time) leads to a dynamical increasing of black hole horizon in $f(R)$ gravity. This phenomenon causes the following transition: emitting marginally trapped surfaces become space-like surfaces before the effective Bekenstein-Hawking emission time. As a consequence, Bousso-Hawking thermal radiation cannot be emitted in an antievaporating Nariai black hole. Possible implications in cosmology and black hole physics are also discussed.

9 pages, to appear in Mod. Phys. Lett. A

References in corpus (23)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase
• String Cosmology: A Review
• Generalized energy conditions in Extended Theories of Gravity
• Bouncing cosmology with future singularity from modified gravity
• Matter Bounce Loop Quantum Cosmology from $F(R)$ Gravity
• Quintessential inflation with canonical and noncanonical scalar fields and Planck 2015 results
• Instabilities and Anti-Evaporation of Reissner-Nordström Black Holes in modified $F(R)$ gravity
• Constraining $f(R)$ gravity by the Large Scale Structure
• Black hole entropy in modified gravity models
• Bounce universe from string-inspired Gauss-Bonnet gravity
• Neutron Majorana mass from exotic instantons
• Stability and Anti-evaporation of the Schwarzschild-de Sitter Black Holes in Bigravity
• Cosmic Matter Flux May Turn Hawking Radiation Off
• 'Exotic vector-like pair' of color-triplet scalars
• Particle creation from the quantum stress tensor
• Un-oriented Quiver Theories for Majorana Neutrons
• External stability for Spherically Symmetric Solutions in Lorentz Breaking Massive Gravity
• Nonlocal quantum field theory without acausality and nonunitarity at quantum level: is SUSY the key?
• Creation of wormholes by quantum tunnelling in modified gravity theories
• Probing $f(R)$ gravity with PLANCK data on cluster pressure profiles

Cited by in corpus (18)

• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Chaotic Solutions and Black Hole Shadow in $f(R)$ gravity
• Testing Quantum Gravity through Dumb Holes
• Thermodynamics of Higher Order Entropy Corrected Schwarzschild-Beltrami-de Sitter Black Hole
• Black hole shadow and chaos bound violation in $f(T)$ teleparallel gravity
• Dark Matter and Inflation in $R+\zeta R^2$ Supergravity
• $Q$-$\Phi$ criticality and microstructure of charged AdS black holes in $f(R)$ gravity
• On Curvature properties of Nariai Spacetimes
• Way-out to the Gravitino problem in intersecting D-brane Pati-Salam models
• Black holes in multi-fractional and Lorentz-violating models
• (Anti)evaporation of Dyonic Black Holes in string-inspired dilaton $f(R)$-gravity
• Evaporation and anti-evaporation instability of a Schwarzschild-de Sitter braneworld: the case of five-dimensional F(R) gravity
• Evaporation/Antievaporation and energy conditions in alternative gravity
• More about the Instanton/Soliton/Kink correspondence
• Suppression of Bekenstein-Hawking radiation in $f(T)$-gravity
• Effects of global monopole on critical behaviors and microstructure of charged AdS black holes
• Brane Bounce from logarithmic entropic corrections in the bulk
• The Fate of Nucleated Black Holes in de Sitter Quantum Gravity