The cosmic no-hair conjecture: A study of the Nariai solutions

TL;DR

This paper examines the cosmic no-hair conjecture by analyzing perturbed Nariai solutions within Gowdy symmetric vacuum spacetimes with a positive cosmological constant, exploring their potential to form new black hole solutions.

Contribution

It provides a detailed study of the stability of Nariai solutions under perturbations and their implications for the cosmic no-hair conjecture and black hole formation.

Findings

Perturbed Nariai solutions exhibit specific stability properties.

Potential for constructing new cosmological black hole solutions.

Insights into the validity of the cosmic no-hair conjecture.

Abstract

In this talk, we investigate the cosmic no-hair conjecture for perturbed Nariai solutions within the class of Gowdy symmetric solutions of Einstein's field equations in vacuum with a positive cosmological constant. In particular, we are interested whether these perturbations allow to construct new cosmological black hole solutions.