On higher derivative gravity, c-theorems and cosmology

Details On higher derivative gravity, c-theorems and cosmology On higher derivative gravity, c-theorems and cosmology

2010-08-25

arxiv.org/abs/1008.4315v3

Class.Quant.Grav.28:085002,2011

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, v3: clarifications added, references added

Scientific paper

10.1088/0264-9381/28/8/085002

We consider higher derivative gravity lagrangians in 3 and 4 dimensions, which admit simple c-theorems, including upto six derivative curvature invariants. Following a suggestion by Myers, these lagrangians are restricted such that the fluctuations around (anti) de Sitter spaces have second order linearized equations of motion. We study c-theorems both in the context of AdS/CFT and cosmology. In the context of cosmology, the monotonic function is the entropy defined on the apparent horizon through Wald's formula. Exact black hole solutions which are asymptotically (anti) de Sitter are presented. An interesting lower bound for entropy is found in de Sitter space. Some aspects of cosmology in both D=3 and D=4 are discussed.

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