Anti-Evaporation of Schwarzschild-de Sitter Black Holes in $F(R)$ gravity

TL;DR

This paper investigates the phenomenon of anti-evaporation in Schwarzschild-de Sitter black holes within $F(R)$ gravity, showing it can occur classically and identifying conditions for this behavior in various models.

Contribution

It demonstrates that anti-evaporation can occur at the classical level in $F(R)$ gravity and provides parameter bounds for different models that exhibit this phenomenon.

Findings

Anti-evaporation may occur classically in $F(R)$ gravity.

Parameter bounds for anti-evaporation in power-law $F(R)$ models.

Potential creation of infinite horizons in these scenarios.

Abstract

We studied the anti-evaporation of degenerate Schwarzschild-de Sitter black hole (so-called Nariai space-time) in modified $F(R)$ gravity. The analysis of perturbations of the Nariai black hole is done with the conclusion that anti-evaporation may occur in such a theory already on classical level. For several power-law $F(R)$ gravities which may describe the inflation and/or dark energy eras we presented the theory parameters bounds for occurrence of anti-evaporation and conjectured creation of infinite number of horizons.