# On higher derivative gravity, c-theorems and cosmology

@article{Sinha2011OnHD, title={On higher derivative gravity, c-theorems and cosmology}, author={Aninda Sinha}, journal={Classical and Quantum Gravity}, year={2011}, volume={28}, pages={085002} }

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…

## 40 Citations

New massive gravity and AdS(4) counterterms.

- PhysicsPhysical review letters
- 2011

This theory is rewritten in terms of the gauge field that is used to recast 3D gravity as a Chern-Simons theory and the parameter values of the resulting counterterm action correspond to a c=0 theory in the context of the duality between AdS(3) gravity and two-dimensional conformal field theory.

Consistent truncations of IIB Supergravity and a Holographic c-theorem for Higher Derivative Gravity.

- Physics
- 2015

We prove a holographic c-theorem for the a central charge in AdS/CFT where the bulk is described by a gravitational action built out of an arbitrary function f(Rcd) of the Riemann tensor coupled to…

Holographic c-theorems and higher derivative gravity

- Physics
- 2012

In AdS/CFT, the holographic Weyl anomaly computation relates the $a$-anomaly coefficient to the properties of the bulk action at the UV fixed point. This universal behavior suggests the possibility…

Short-cut to new anomalies in gravity duals to logarithmic conformal field theories

- Geology
- 2011

Various massive gravity theories in three dimensions are conjecturally dual to logarithmic conformal field theories (LCFTs). We summarise the status of these conjectures. LCFTs are characterised by…

Entropy functionals and c-theorems from the second law

- Mathematics
- 2016

We show that for a general four derivative theory of gravity, only the holographic entanglement entropy functionals obey the second law at linearized order in perturbations. We also derive bounds on…

Energy Density Bounds in Cubic Quasi-Topological Cosmology

- Physics
- 2013

We investigate the thermodynamical and causal consistency of cosmological models of the cubic Quasi-Topological Gravity (QTG) in four dimensions, as well as their phenomenological consequences.…

A holographic c-theorem for higher derivative gravity

- Physics
- 2011

We prove a holographic c-theorem for the a central charge in AdS/CFT where the bulk is described by a gravitational action built out of an arbitrary function f(R^{ab}_{cd}) of the Riemann tensor…

c-theorems in arbitrary dimensions

- Mathematics
- 2012

The dilaton action in 3 + 1 dimensions plays a crucial role in the proof of the a-theorem. This action arises using Wess-Zumino consistency conditions and crucially relies on the existence of the…

Counterterms, critical gravity and holography

- Physics
- 2012

We consider counterterms for odd dimensional holographic conformal field theories (CFTs). These counterterms are derived by demanding cutoff independence of the CFT partition function on S-d and S-1…

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