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活动类型：学术报告

主讲人：Fuwen Shu

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活动内容：

Abstract: From the black hole thermodynamics point of view, we show that there exists a close relation between Sen's  entropy function and the free energy. This relation yields an differential equation by which one can quickly give higher order corrections to entropy of pure (anti-) de Sitter space without knowing the corrected metric. We also show that near horizon geometry and the entropy function extremization is no longer required for pure (anti-)de Sitter space. The entropy of (anti-)de Sitter space and Schwarzschild-(anti-) de Sitter black holes together with Gauss-Bonnet terms, R2 terms and R4 terms are calculated as concrete examples. An attempt has been made to explain why the entropy function method can be used to calculate the corrected entropy without knowing the exact form of black hole solution in higher derivative gravity theory. Our results also imply possible problems that might be risen in recent attempts to extend the entropy function formalism to non-extremal black holes.