Open AccessCanonical entropy of black hole
Author(s) -
Ren Zhao,
Lichun Zhang,
Shengli Zhang
Publication year - 2007
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.56.3719
Subject(s) - physics , entropy (arrow of time) , logarithm , extremal black hole , black hole thermodynamics , black hole (networking) , hawking radiation , thermal , thermal radiation , statistical physics , quantum mechanics , thermodynamics , mathematics , mathematical analysis , computer network , routing protocol , routing (electronic design automation) , computer science , link state routing protocol
Recently, Hawking radiation of the black hole was studied by tunnel effect method. It was found that the radiation spectrum of the black hole is not a strictly pure thermal spectrum. How the deviation between the radiation spectrum from pure thermal spectrum affect the entropy is a very interesting problem. In this paper, we calculate the partition function using the energy spectrum derived by tunnel effect, then obtain the entropy of the black hole. When we take first order approximation, the logarithmic term of entropy correction is consistent with the one considering the generalized uncertainty relation. However, in our calculation, there is no uncertain factor. And the coefficient of logarithmic correction term is the same one after considering the correction to the black hole entropy due to the thermal fluctuation. There are no divergent terms in our result when the thermal capacity of the black hole is negative. So our discussion has universality.