Quantum Corrections and Entropy Spectrum in Different Gravity

摘要

Black hole spectroscopy has been successfully reproduced in the tunneling picture [1,2]. As a result, the derived entropy spectrum of black hole in different gravity (including Einstein's gravity, Einstein-Gauss-Bonnet gravity and Horava-Lifshitz gravity) are all evenly spaced, sharing the same forms as S_n = n, where physical process is only confined in the semiclassical framework. However, the real physical picture should go beyond the semiclassical approximation. In this case, the physical quantities would undergo higher-order quantum corrections, whose effect on different gravity shares in different forms. Motivated by these facts, in this chapter we aim to observe how quantum corrections affect black hole spectroscopy in different gravity. The result shows that, in the presence of higher-order quantum corrections, black hole spectroscopy in different gravity still shares the same form as S_n = n,further confirming the entropy quantum is universal in the sense that it is not only independent of black hole parameters, but also independent of higher-order quantum corrections. This is a desiring.result for the forthcoming quantum gravity theory.