On Kaluza-Klein spacetime in Einstein-Gauss-Bonnet gravity

TL;DR

This paper explores black hole solutions in Einstein-Gauss-Bonnet gravity with extra dimensions, analyzing their properties and asymptotic stresses, and notes the absence of a Kerr analogue in this framework.

Contribution

It introduces and analyzes black hole solutions in higher-dimensional Einstein-Gauss-Bonnet gravity, including their asymptotic stress behaviors and the lack of a Kerr analogue.

Findings

Black hole solutions can radiate Vaidya null dust.

Asymptotic stress behaviors are characterized at $r\to0$ and $r\to\infty$.

No Kerr analogue exists in this higher-dimensional setting.

Abstract

By considering the product of the usual four dimensional spacetime with two dimensional space of constant curvature, an interesting black hole solution has recently been found for Einstein-Gauss-Bonnet gravity. It turns out that this as well as all others could easily be made to radiate Vaidya null dust. However there exists no Kerr analogue in this setting. To get the physical feel of the four dimensional black hole spacetimes, we study asymptotic behavior of stresses at the two ends, $r\to0$ and $r\to\infty$.