Solution Independent Analysis of Black Hole Entropy in Brick Wall Model.pdfVIP

Solution Independent Analysis of Black Hole Entropy in Brick Wall Model Masakatsu Kenmoku 1 Department of Physics, Nara Women’s University, Nara 630-8506, Japan 7 Kamal Kanti Nandi 2 0 Department of Mathematics, University of North Bengal 0 2 Darjeeling (W.B.) 734 430, India n 3 u Kazuyasu Shigemoto J Department of Physics, Tezukayama University, Nara 630-8501, Japan 6 2 v Abstract 9 2 Using the brick wall regularization of ’t Hooft, the entropy of non-extreme 1 and extreme black holes is investigated in a general static, spherically symmetric 5 spacetime. We classify the singularity in the entropy by introducing a new index 0 5 δ with respect to the brick wall cut-off ǫ. The leading contribution to entropy 0 for non-extreme case (δ = 0) is shown to satisfy the area law with quadratic / c divergence with respect to the invariant cut-off ǫinv while the extreme case (δ = 0) q - exhibits logarithmic divergence or constant value with respect to ǫ. The general r g formula is applied to Reissner-Nordstr¨om, dilaton and brane-world black holes : v and we obtain consistent results. i X PACS number(s): 04.70.-s, 95.30.Sf, 97.60.Lf r a 1E-mail address: kenmoku@phys.nara-wu.ac.jp 2E-mail address: kamalnandi1952@yahoo.co.in 3E-mail address: shigemot@tezukayama-u.ac.jp