Open AccessGeneralized uncertainty principle and entropy of three-dimensional BTZ black hole
Author(s) -
Ren Zhao,
Huai-Fan Li,
Lichun Zhang
Publication year - 2009
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.58.2193
Subject(s) - btz black hole , physics , virtual black hole , black hole thermodynamics , black hole complementarity , entropy (arrow of time) , quantum relative entropy , white hole , black hole (networking) , extremal black hole , black brane , quantum mechanics , quantum , quantum discord , quantum dynamics , computer network , routing protocol , routing (electronic design automation) , computer science , link state routing protocol
Applying the new equation of state density motivated by the generalized uncertainty relation in the quantum gravity fieldwe investigate the black hole entropy on the background of three-dimensionnal BTZ. When the λ with the Planck scaleand relative to the dimensions of spacetime introduced in generalized uncertainty relation has a fixed valuewe obtain the Bekenstein-Hawking entropy of BTZ black hole and the correction term. Because we have used the new equation of state densityin our results the divergence term appearing in the brick-wall model is removedat the same time with holding the small mass approximation. Thus the correction value of the Bekenstein-Hawking entropy of the black hole is derived from the quantum statistical view. It depends the understanding of the correction value of the black hole entropy.