On higher derivative gravity, c-theorems and cosmology
arXiv:1008.4315 · doi:10.1088/0264-9381/28/8/085002
Abstract
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.
23 pages, v3: clarifications added, references added
References in corpus (20)
- Massive Gravity in Three Dimensions
- Conformal collider physics: Energy and charge correlations
- Holographic c-theorems in arbitrary dimensions
- Thermodynamic Behavior of Friedmann Equation at Apparent Horizon of FRW Universe
- Viscosity Bound and Causality Violation
- Seeing a c-theorem with holography
- More on Massive 3D Gravity
- Beyond eta/s = 1/4pi
- Three-dimensional black holes, gravitational solitons, kinks and wormholes for BHT massive gravity
- Quantum corrections to eta/s
- Ghost-free, finite, fourth order D=3 (alas) gravity
- Non-singular cosmology in a model of non-relativistic gravity
- Universal holographic hydrodynamics at finite coupling
- Born-Infeld extension of new massive gravity
- Note on New Massive Gravity in
- 1/N Effects in Non-Relativistic Gauge-Gravity Duality
- c-functions in the Born-Infeld extended New Massive Gravity
- Shear Viscosity to Entropy Density Ratio in Six Derivative Gravity
- Warped black holes in 3D general massive gravity
- On the Entropy Function and the Attractor Mechanism for Spherically Symmetric Extremal Black Holes