Blackfolds in (Anti)-de Sitter Backgrounds

TL;DR

This paper constructs and analyzes blackfold solutions in Anti-de Sitter and de Sitter spacetimes, exploring their stability, geometric properties, and connections to higher-dimensional black holes, thereby advancing the blackfold approach in curved backgrounds.

Contribution

It introduces new blackfold solutions in (Anti)-de Sitter backgrounds, studies their stability, and links them to ultra-spinning black holes, expanding the blackfold methodology in curved spacetimes.

Findings

Blackfold solutions in (A)dS backgrounds constructed.

Thermodynamic stability of certain blackfolds analyzed.

Ultra-spinning regimes of higher-dimensional Kerr-(A)dS black holes described.

Abstract

We construct different neutral blackfold solutions in Anti-de Sitter and de Sitter background spacetimes in the limit where the cosmological scale is taken to be much larger than the transverse horizon size. This includes a class of blackfolds with horizons that are products of odd-spheres times a transverse sphere, for which the thermodynamic stability is also studied. Moreover, we exhibit a specific case in which the same blackfold solution can describe different limiting black hole spacetimes therefore illustrating the geometric character of the blackfold approach. Furthermore, we show that the higher-dimensional Kerr-(Anti)-de Sitter black hole allows for ultra-spinning regimes in the relevant limit of large cosmological scale, and demonstrate that this is correctly described by a pancaked blackfold geometry. We also give evidence for the possibility of saturating the rigidity theorem in these backgrounds.