The Black Hole Radiation in Massive Gravity

TL;DR

This paper investigates how massive gravity theories alter black hole radiation by analyzing Bogoliubov transformations and the impact of extra degrees of freedom on particle creation and perceived temperature.

Contribution

It introduces a novel analysis of black hole radiation within nonlinear massive gravity, highlighting the effects of additional degrees of freedom on Hawking radiation.

Findings

Modified logarithmic singularity behavior

Altered relation between Bogoliubov coefficients

Changed black hole temperature perception

Abstract

We apply the Bogoliubov transformations in order to connect two different vacuums, one~located at past infinity and another located at future infinity around a black hole inside the scenario of the nonlinear theory of massive gravity. The presence of the extra degrees of freedom changes the behavior of the logarithmic singularity and, as a consequence, the relation between the two Bogoliubov coefficients. This has an effect on the number of particles, or equivalently, on the black hole temperature perceived by observers defining the time arbitrarily.