Quantum tunneling and black hole spectroscopy

TL;DR

This paper investigates the quantization of black hole entropy and area spectra using tunneling models, revealing evenly spaced entropy spectra in Einstein gravity but not always in extended theories.

Contribution

It introduces a novel method to derive black hole entropy spectra from tunneling effects, highlighting differences between Einstein and extended gravity theories.

Findings

Entropy spectrum is evenly spaced in Einstein gravity.

Area spectrum is not evenly spaced in Einstein-Gauss-Bonnet gravity.

Entropy spectrum remains equispaced across different gravity theories.

Abstract

The entropy-area spectrum of a black hole has been a long-standing and unsolved problem. Based on a recent methodology introduced by two of the authors, for the black hole radiation (Hawking effect) as tunneling effect, we obtain the entropy spectrum of a black hole. In Einstein's gravity, we show that both entropy and area spectrum are evenly spaced. But in more general theories (like Einstein-Gauss-Bonnet gravity), although the entropy spectrum is equispaced, the corresponding area spectrum is not.