Quantum evolution of Schwarzschild-de Sitter (Nariai) black holes

Abstract

We calculate the one-loop effective action for conformal matter (scalars, spinors and vectors) on spherically symmetric background. Such effective action (in large $N$ approximation and expansion on curvature) is used to study quantum aspects of Schwarzschild-de Sitter black holes (SdS BHs) in nearly degenerated limit (Nariai BH). We show that for all types of above matter SdS BHs may evaporate or anti-evaporate in accordance with recent observation by Bousso and Hawking for minimal scalars. Some remarks about energy flow for SdS BHs in regime of evaporation or anti-evaporation are also done. Study of no boundary condition shows that this condition supports anti-evaporation for nucleated BHs (at least in frames of our approximation). That indicates to the possibility that some pair created cosmological BHs may not only evaporate but also anti-evaporate. Hence, cosmological primordial BHs may survive much longer than it is expected.

Latex file, 20 pages, shortened version

References in corpus (1)

• (Anti-)Evaporation of Schwarzschild-de Sitter Black Holes

Cited by in corpus (58)

• Temperature and entropy of Schwarzschild-de Sitter space-time
• Islands in de Sitter space
• Quantum dilatonic gravity in d = 2,4 and 5 dimensions
• Black hole solutions in F(R) gravity with conformal anomaly
• Regular Multi-Horizon Black Holes in Modified Gravity with Non-Linear Electrodynamics
• Nariai, Bertotti-Robinson and anti-Nariai solutions in higher dimensions
• Instabilities and Anti-Evaporation of Reissner-Nordström Black Holes in modified $F(R)$ gravity
• Anti-Evaporation of Schwarzschild-de Sitter Black Holes in $F(R)$ gravity
• Chaotic Solutions and Black Hole Shadow in $f(R)$ gravity
• Can primordial wormholes be induced by GUTs at the early Universe?
• Quantum Global Structure of de Sitter Space
• Proliferation of de Sitter Space
• F(R) gravity's rainbow and its Einstein counterpart
• The instabilities and (anti)-evaporation of Schwarzschild-de Sitter black holes in modified gravity
• De Sitter and Schwarzschild-De Sitter According to Schwarzschild and De Sitter
• Effect of Vacuum Energy on Evolution of Primordial Black Holes in Einstein Gravity
• The extremal limits of the C-metric: Nariai, Bertotti-Robinson and anti-Nariai C-metrics
• Reissner-Nordström Black Holes in Mimetic $F(R)$ Gravity
• De Sitter space versus Nariai Black Hole: stability in d5 higher derivative gravity
• Anti-Evaporation of Bardeen de-Sitter Black Holes
• Horizons vs. singularities in spherically symmetric space-times
• Adventures in de Sitter space
• Thermodynamic analysis of topological black holes in Gauss-Bonnet gravity with nonlinear source
• Obstruction of black hole singularity by quantum field theory effects
• Pair creation of de Sitter black holes on a cosmic string background
• Anomaly induced effective actions in even dimensions and reliability of s-wave approximation
• On the Hawking effect
• Black Holes With Many Horizons in the Theories of Nonlinear Electrodynamics
• Thermodynamics of Schwarzschild-(Anti-)de Sitter Black Holes with account of quantum corrections
• Casimir energy and black hole pair creation in Schwarzschild-de Sitter spacetime
• The nonlinear evolution of de Sitter space instabilities
• (Anti)evaporation of Dyonic Black Holes in string-inspired dilaton $f(R)$-gravity
• Pair creation of higher dimensional black holes on a de Sitter background
• Some general properties of the renormalized stress-energy tensor for static quantum states on (n+1)-dimensional spherically symmetric black holes
• No absorption in de Sitter space
• Energy and entropy radiated by a black hole embedded in the de-Sitter braneworld
• Dirac quasinormal modes of power-Maxwell charged black holes in Rastall gravity
• Dirac quasinormal modes of two-dimensional charged Dilatonic Black Holes
• One-loop conformal anomaly in an implicit momentum space regularization framework
• Evaporation and anti-evaporation instability of a Schwarzschild-de Sitter braneworld: the case of five-dimensional F(R) gravity
• Phantom energy accretion and primordial black holes evolution in Brans-Dicke theory
• Cosmological Constant and Vacuum Zero Point Energy in Black Hole Backgrounds
• $\infty -\infty$: vacuum energy and virtual black-holes
• Semiclassical ultraextremal horizons
• Effective Tolman temperature induced by trace anomaly
• The Real Scalar Field Equation for Nariai Black Hole in the 5D Schwarzschild-de Sitter Black String Space
• Evaporation/Antievaporation and energy conditions in alternative gravity
• Probable ratio of the vacuum energy in a Schwarzchild-de Sitter space
• Black Hole Solutions and Pair Creation of Black Holes in Three, Four and Higher Dimensional Spacetimes
• Unveiling horizons in quantum critical collapse
• The effective Tolman temperature in curved spacetimes
• On the backreaction issue for the black hole in de Sitter space-time
• Suppression of Bekenstein-Hawking radiation in $f(T)$-gravity
• Primordial black holes in a dimensionally oxidizing Universe
• Anti-Evaporation/Evaporation of $n$-dimensional Reissner-Nordström Black Hole
• Casimir effect for the massless Dirac field in two-dimensional Reissner-Nordström spacetime
• The Fate of Nucleated Black Holes in de Sitter Quantum Gravity
• Evaporation and Antievaporation instabilities