Journal of Modern Physics

Volume 7, Issue 15 (November 2016)

ISSN Print: 2153-1196   ISSN Online: 2153-120X

Google-based Impact Factor: 0.72  Citations  h5-index & Ranking

Black Hole Entropy from Entropy of Hawking Radiation

HTML  XML Download Download as PDF (Size: 306KB)  PP. 2063-2070  
DOI: 10.4236/jmp.2016.715181    1,566 Downloads   2,448 Views   Citations


We provide a simple way for calculating the entropy of a Schwarzschild black hole from the entropy of its Hawking radiation. To this end, we show that if a thermodynamic system loses its energy only through the black body radiation, its loss of entropy is always 3/4 of the entropy of the emitted radiation. This proposition enables us to relate the entropy of an evaporating black hole to the entropy of its Hawking radiation. Explicitly, by calculating the entropy of the Hawking radiation emitted in the full period of evaporation of the black hole, we find the Bekenstein-Hawking entropy of the initial black hole.

Cite this paper

Aghapour, S. and Hajian, K. (2016) Black Hole Entropy from Entropy of Hawking Radiation. Journal of Modern Physics, 7, 2063-2070. doi: 10.4236/jmp.2016.715181.

Cited by

[1] Conserved charges and first law of thermodynamics for Kerr–de Sitter black holes
General Relativity and Gravitation, 2016

Copyright © 2020 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.