# Solution Independent Analysis of Black Hole Entropy in Brick Wall Model

Source: [Solution Independent Analysis of Black Hole Entropy in Brick Wall Model](<https://www.sota2.com/research/paper/68fa26fa2c2a3760193bf1a4>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T11:44:37.358Z

Authors: M.Kenmoku, K.K.Nandi, K.Shigemoto

Published: 2005-05-26T05:51:30.000Z

## Abstract

Using the brick wall regularization of 't Hooft, the entropy of non-extreme and extreme black holes is investigated in a general static, spherically symmetric spacetime. We classify the singularity in the entropy by introducing a {\\it new} index $\\delta $ with respect to the brick wall cut-off $\\epsilon $. The leading contribution to entropy for non-extreme case $(\\delta \\neq 0)$ is shown to satisfy the area law with quadratic divergence with respect to the invariant cut-off $\\epsilon\_{{\\rm inv}}$ while the extreme case $(\\delta =0)$ exhibits logarithmic divergence or constant value with respect to $\\epsilon $. The general formula is applied to Reissner-Nordstr\\"{o}m, dilaton and brane-world black holes and we obtain consistent results.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/gr-qc/0505129>)

[PDF](<https://arxiv.org/pdf/gr-qc/0505129.pdf>)