# Anti-Evaporation of Bardeen de-Sitter Black Holes

## TL;DR

This paper investigates the stability and thermodynamics of degenerate Bardeen de-Sitter black holes, demonstrating horizon stability through perturbation analysis and identifying phase transitions at the Nariai limit.

## Contribution

It provides a detailed perturbation analysis showing horizon stability and explores thermodynamic phase transitions of Bardeen de-Sitter black holes.

## Key findings

- Horizon size remains constant under perturbations.
- Perturbations are stable, indicating anti-evaporation.
- Double phase transition observed at the Nariai limit.

## Abstract

In this paper, we discuss the possibility of the anti-evaporation of degenerate Bardeen de-Sitter black hole. We solve the perturbation equations around the Nariai space-time. The solution of one of the perturbations related to the horizon size demonstrates that horizon of such black hole is constant. The other perturbation is also found to be stable. We further study thermodynamical properties of such black holes. We observe double phase transition at the Nariai limit.