The effect of quantum correction on Hawking radiation for Schwarzschild black holes

TL;DR

This paper explores how quantum corrections influence Hawking radiation in Schwarzschild black holes, revealing potential deviations from the classical area law and implications for information conservation.

Contribution

It introduces quantum corrections to Hawking temperature and entropy, showing possible conditions for pure blackbody radiation and discussing bounds on greybody factors.

Findings

Quantum corrections modify the black hole area law.

At certain frequencies, radiation can be purely blackbody.

Quantum corrections cause minimal changes to greybody factor bounds.

Abstract

We investigate the effect of quantum correction on Hawking radiation for Schwarzschild black holes. We consider Hawking temperature and entropy to order G^2 and find that the area law of black holes should be modified. We think of Hawking radiation as tunneling and find that at certain frequency {\omega} the radiation spectrum of black holes can be pure blackbody spectrum. Therefore, it is possible to break down information conservation. In order to ensure information conservation at any energy scales, we suggest that black holes cannot release all information they have. We briefly discuss the bound on greybody factors for Schwarzschild black holes as well. Since the modification of horizon is very tiny, the bound on greybody factors has a very small difference between classical metric and quantum corrected metric.