Static black holes and strictly static spacetimes in Einstein-Gauss-Bonnet gravity with gauge field

TL;DR

This paper investigates static black holes and spacetimes in Einstein-Gauss-Bonnet gravity with gauge fields, showing they are closely related to classical solutions like Schwarzschild and Reissner-Nordstrom under small curvature conditions.

Contribution

It demonstrates that, in Einstein-Gauss-Bonnet gravity with gauge fields, static solutions are approximately equivalent to known classical solutions in the small curvature limit.

Findings

Conformally flat slices are approximately Minkowski.

Black hole solutions resemble Schwarzschild-Tangherlini or Reissner-Nordstrom.

Results hold under small curvature corrections.

Abstract

We examine strictly static asymptotically flat spacetimes in Einstein-Gauss-Bonnet gravity with U(1) gauge field, revealing that, up to small curvature corrections, confomally flat slices of the spacetime in question are of Minkowski origin. We consider uncharged and charged black hole solutions in the theory, showing that, up to the small curvature limit, they are diffeomorphic to Schwarzschild_Tangherlini or Reissner-Nordstrom solutions, respectively.