Einstein-Gauss-Bonnet black holes in de Sitter spacetime and the quasilocal formalism

TL;DR

This paper develops a method to compute the action and global charges of asymptotically de Sitter Einstein-Gauss-Bonnet solutions using counterterms and quasilocal formalism, applicable up to 7 dimensions, including rotating black holes.

Contribution

It introduces a general counterterms and boundary stress tensor formulation for Einstein-Gauss-Bonnet spacetimes with positive cosmological constant in dimensions up to 7.

Findings

Successfully applied to various solutions, including rotating black holes.

Provides explicit expressions for counterterms in dimensions up to 7.

Extends previous methods to include rotating and vacuum solutions.

Abstract

We propose to compute the action and global charges of the asymptotically de Sitter solutions in Einstein-Gauss-Bonnet theory by using the counterterms method in conjunction with the quasilocal formalism. The general expression of the counterterms and the boundary stress tensor is presented for spacetimes of dimension $d\leq 7$. We apply this tehnique for several different solutions in Einstein-Gauss-Bonnet theory with a positive cosmological constant. Apart from known solutions, we consider also $d=5$ vacuum rotating black holes with equal magnitude angular momenta.