Black hole solutions of dimensionally reduced Einstein-Gauss-Bonnet gravity with a cosmological constant

TL;DR

This paper investigates spherically symmetric solutions in a dimensionally reduced Einstein-Gauss-Bonnet gravity with a cosmological constant, revealing that all physical solutions exhibit anti-de Sitter asymptotics.

Contribution

It provides a detailed analysis of the phase space of solutions in a reduced higher-dimensional gravity model with a cosmological constant.

Findings

All solutions have anti-de Sitter asymptotic behavior

Characterization of the phase space of solutions

Insights into the structure of reduced Einstein-Gauss-Bonnet gravity

Abstract

We study the phase space of the spherically symmetric solutions of the system obtained from the dimensional reduction of the six-dimensional Einstein-Gauss-Bonnet action with a cosmological constant. We show that all the physical solutions have anti-de Sitter asymptotic behavior.