On higher derivative gravity, ctheorems and cosmology
Abstract
We consider higher derivative gravity lagrangians in three and four dimensions, which admit simple ctheorems, 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 secondorder linearized equations of motion. We study ctheorems 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.
 Publication:

Classical and Quantum Gravity
 Pub Date:
 April 2011
 DOI:
 10.1088/02649381/28/8/085002
 arXiv:
 arXiv:1008.4315
 Bibcode:
 2011CQGra..28h5002S
 Keywords:

 High Energy Physics  Theory;
 Astrophysics  Cosmology and Extragalactic Astrophysics;
 General Relativity and Quantum Cosmology
 EPrint:
 23 pages, v3: clarifications added, references added