Corrected entropy of high dimensional black holes
Corrected entropy of high dimensional black holes
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发表时间：
2009-06
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通讯作者：
Tao Zhu;Ji-rong Ren;M. Li
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作者：
Tao Zhu;Ji-rong Ren;M. Li
利用由Banerjee和Majhi提出的超越半经典近似的隧道形式导出的Hawking温度的修正表达式，计算了高维Schwarzschild黑洞和5维Gauss-Bonnet（GB）黑洞的修正熵.结果表明，这两类黑洞的修正熵与用隧道方法导出的$（n+1）$维Friedmann-Robertson-步行者（FRW）宇宙的修正熵公式一致.这一特征强烈地暗示了修正熵公式（\ref{attenuation of horiozn}）的深刻普适性，它可能不依赖于时空和引力理论的维度。另外，修正熵公式的首阶修正总是以半经典熵的对数出现，而不是以黑洞视界面积的对数出现，这可能意味着半经典熵的对数比面积的对数更适合于量子修正.
Using the corrected expression of Hawking temperature derived from the tunneling formalism beyond semiclassical approximation developed by \emph{Banerjee} and \emph{Majhi}\cite{beyond}, we calculate the corrected entropy of a high dimensional Schwarzschild black hole and a 5-dimensional Gauss-Bonnet (GB) black hole. It is shown that the corrected entropy for this two kinds of black hole are in agreement with the corrected entropy formula (\ref{entropy of apparent horiozn}) that derived from tunneling method for a $(n+1)$-dimensional Friedmann-Robertson-Walker (FRW) universe\cite{FRW}. This feature strongly suggests deep universality of the corrected entropy formula (\ref{entropy of apparent horiozn}), which may not depend on the dimensions of spacetime and gravity theories. In addition, the leading order correction of corrected entropy formula always appears as the logarithmic of the semiclassical entropy, rather than the logarithmic of the area of black hole horizon, this might imply that the logarithmic of the semiclassical entropy is more appropriate for quantum correction than the logarithmic of the area.