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Black hole entropy with minimal length in tunneling formalism
Authors:Barun Majumder
Institution:1. Indian Institute of Technology Gandhinagar, Ahmedabad, 382424, Gujarat, India
Abstract: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 $\sim \sqrt{Area}$ ~ A r e a . 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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