Journal
CLASSICAL AND QUANTUM GRAVITY
Volume 28, Issue 8, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0264-9381/28/8/085002
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Funding
- Government of Canada through Industry Canada
- Province of Ontario through the Ministry of Research Innovation
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We consider higher derivative gravity lagrangians in three and four 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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