Conserved Charges in Einstein Gauss-Bonnet theory

TL;DR

This paper develops a method to compute conserved charges like mass-energy in Einstein Gauss-Bonnet gravity using Noether's identities, demonstrated on D-dimensional black holes in anti-de Sitter space.

Contribution

It introduces a superpotential approach for conserved charges in Einstein Gauss-Bonnet gravity, extending previous methods to higher curvature theories.

Findings

Conserved charge corresponds to black hole mass-energy.

Method applicable to D-dimensional anti-de Sitter black holes.

Provides a new tool for analyzing conserved quantities in modified gravity.

Abstract

Using Noether's identities, we define a superpotential with respect to a background for the Einstein Gauss-Bonnet theory of gravity. As an example, we show that its associated conserved charge yields the mass-energy of a D-dimensional Gauss-Bonnet black hole in an anti-de Sitter spacetime.