Long life of Gauss-Bonnet corrected black holes

TL;DR

This paper demonstrates that Gauss-Bonnet corrections significantly extend the lifetime of higher-dimensional black holes by suppressing graviton emission, which has implications for future collider experiments.

Contribution

It reveals that Gauss-Bonnet corrections cause a substantial suppression of graviton emission, leading to much longer black hole lifetimes in higher dimensions.

Findings

Graviton emission is suppressed by many orders with Gauss-Bonnet corrections.

Black hole lifetime increases significantly due to suppressed graviton emission.

Effect is relevant for future experiments like the LHC.

Abstract

Dictated by the string theory and various higher dimensional scenarios, black holes in $D>4$-dimensional space-times must have higher curvature corrections. The first and dominant term is quadratic in curvature, and called the Gauss-Bonnet (GB) term. We shall show that although the Gauss-Bonnet correction changes black hole's geometry only softly, the emission of gravitons is suppressed by many orders even at quite small values of the GB coupling. The huge suppression of the graviton emission is due to the multiplication of the two effects: the quick cooling of the black hole when one turns on the GB coupling and the exponential decreasing of the grey-body factor of the tensor type of gravitons at small and moderate energies. At higher $D$ the tensor gravitons emission is dominant, so that the overall lifetime of black holes with Gauss-Bonnet corrections is many orders larger than was expected. This effect should be relevant for the future experiments at the Large Hadron Collider (LHC). Keywords: Hawking radiation, black hole evaporation.