Hawking Evaporation of Black Holes in Massive Gravity

TL;DR

This paper investigates the Hawking evaporation process of black holes in massive gravity theories, revealing how the effective emission surface varies and can lead to complete evaporation or remnants, with broader implications for AdS-like black holes.

Contribution

It introduces a detailed analysis of Hawking evaporation in dRGT massive gravity, highlighting the impact of graviton mass on emission surfaces and black hole fate, extending to general AdS-like solutions.

Findings

Emission surface can be proportional to the square of the AdS length or impact parameter.

Black holes may evaporate completely or leave remnants.

The results apply broadly to asymptotically AdS-like black holes in various theories.

Abstract

We study the Hawking evaporation of a class of black hole solutions in dRGT massive gravity, in which the graviton mass gives rise to an effective negative cosmological constant. We found that the effective emission surface can be either proportional to the square of the effective AdS length scale, or corresponds to the square of the impact parameter of the null geodesic that falls onto the photon orbit of the black hole. Furthermore, depending on the black hole parameters, the emission surface could switch from one to another as the black hole loses mass during the evaporation process. Furthermore, the black holes can either evaporate completely or become a remnant at late time. Our result is more generally applicable to any asymptotically anti-de Sitter-like black hole solution in any theory whose metric function has a term linear in the coordinate radius, with massive gravity being only a concrete example.