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arxiv: 1212.6591 · v3 · pith:7745UOJEnew · submitted 2012-12-29 · 🌀 gr-qc · hep-th

Black Hole Entropy with minimal length in Tunneling formalism

classification 🌀 gr-qc hep-th
keywords orderblackcorrectionentropyformalismfoundhawkinghole
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Here we study the effects of the Generalized Uncertainty Principle in the tunneling formalism for Hawking radiation to evaluate the quantum-corrected Hawking temperature and entropy for a Schwarzschild black hole. We compare our results with the existing results given by other candidate theories of quantum gravity. In the entropy-area relation we found some new correction terms and in the leading order we found a term which varies as $\sim \sqrt{Area}$. We also get the well known logarithmic correction in the sub-leading order. We discuss the significance of this new quantum corrected leading order term.

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