Logarithmic corrections to black hole and black ring entropy in tunneling approach

Details Logarithmic corrections to black hole and black ring entropy in tunneling approach Logarithmic corrections to black hole and black ring entropy in tunneling approach

2009-10-29

arxiv.org/abs/0910.5540v2

Europhys.Lett.95:10008,2011

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, rewritten

Scientific paper

10.1209/0295-5075/95/10008

The tunneling approach beyond semiclassical approximation has been used to calculate the corrected Hawking temperature and entropy for various black holes and FRW universe model. We examine their derivations, and prove that the quantity $H$ in the corrected temperature is the explicit function of the only free parameter $\mathcal{A}$ (which is an auxiliary parameter defined by $\mathcal{A}=\hbar S_{BH}$). Our analysis improves previous calculations, and indicates that the leading order logarithmic correction to entropy is a natural result of the corrected temperature and the first law of thermodynamics. Additionally, we apply the tunneling approach beyond semiclassical approximation to neutral black rings. Based on the analysis, we show that the entropy of neutral black rings also has a logarithmic leading order correction.

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