On higher derivative gravity, c-theorems and cosmology

  title={On higher derivative gravity, c-theorems and cosmology},
  author={Aninda Sinha},
  journal={Classical and Quantum Gravity},
  • Aninda Sinha
  • Published 25 August 2010
  • Mathematics
  • Classical and Quantum Gravity
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… 
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