English

Black Hole Entropy with minimal length in Tunneling formalism

General Relativity and Quantum Cosmology 2013-10-14 v3 High Energy Physics - Theory

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 Area\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.

Keywords

Cite

@article{arxiv.1212.6591,
  title  = {Black Hole Entropy with minimal length in Tunneling formalism},
  author = {Barun Majumder},
  journal= {arXiv preprint arXiv:1212.6591},
  year   = {2013}
}

Comments

Accepted for publication in General Relativity and Gravitation