Entropy function and higher derivative corrections to entropies in (anti-)de Sitter space

Details Entropy function and higher derivative corrections to entropies in (anti-)de Sitter space Entropy function and higher derivative corrections to entropies in (anti-)de Sitter space

2008-04-17

arxiv.org/abs/0804.2724v3

JHEP0808:021,2008

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, contents improved, typos corrected, references added

Scientific paper

10.1088/1126-6708/2008/08/021

We first briefly discuss the relation between black hole thermodynamics and the entropy function formalism. We find that an equation which governs the relationship between Sen's entropy function and black hole entropy, 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, $R^2$ terms and $R^4$ terms are calculated as concrete examples.

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