Entropy radiated by a braneworld black hole

TL;DR

This paper calculates the entropy radiated by higher-dimensional black holes considering greybody factors, providing insights into black hole entropy and supporting the Bekenstein conjecture in extra-dimensional models.

Contribution

It offers an accurate computation of entropy radiated by (4+n)-dimensional black holes including greybody factors, extending Bekenstein conjecture to multi-dimensional scenarios.

Findings

Entropy radiated is precisely computed in higher dimensions.

Results support the Bekenstein conjecture in extra-dimensional models.

Generalizes Zurek's argument to (4+n) dimensions.

Abstract

The concept of black hole entropy is one of the most important enigmas of theoretical physics. It relates thermodynamics to gravity and allows substantial hints toward a quantum theory of gravitation. Although Bekenstein conjecture -assuming the black hole entropy to be a measure of the number of precollapse configurations- has proved to be extremely fruitful, a direct and conclusive proof is still missing. This article computes accurately the entropy evaporated by black holes in (4+n) dimensions taking into account the exact greybody factors. This is a key process to constrain and understand the entropy of black holes as the final state is unambiguously defined. Those results allow to generalize Zurek's important argument, in favor of the Bekenstein conjecture, to multi-dimensional scenarios.