A Vaidya-type radiating solution in Einstein-Gauss-Bonnet gravity and its application to braneworld

TL;DR

This paper derives an exact Vaidya-type radiating solution in Einstein-Gauss-Bonnet gravity across arbitrary dimensions and applies it to model dark radiation evolution in braneworld scenarios.

Contribution

It presents a new exact radiating solution in Einstein-Gauss-Bonnet gravity and extends its application to braneworld dark radiation evolution.

Findings

Exact Vaidya-type solution in arbitrary dimensions.

Derived evolution equation for dark radiation in Gauss-Bonnet braneworld.

Generalization of static black hole solutions to radiating cases.

Abstract

We consider a Vaidya-type radiating spacetime in Einstein gravity with the Gauss-Bonnet combination of quadratic curvature terms. Simply generalizing the known static black hole solutions in Einstein-Gauss-Bonnet gravity, we present an exact solution in arbitrary dimensions with the energy-momentum tensor given by a null fluid form. As an application, we derive an evolution equation for the ``dark radiation'' in the Gauss-Bonnet braneworld.