Born-Infeld Type Extension of (Non-)Critical Gravity
arXiv:1203.3383 · doi:10.1103/PhysRevD.86.024023
Abstract
We consider the Born-Infeld type extension of (non-)critical gravity which is higher curvature gravity on Anti de-Sitter space with specific combinations of scalar curvature and Ricci tensor. This theory may also be viewed as a natural extension of three-dimensional Born-Infeld new massive gravity to arbitrary dimensions. We show that this extension is consistent with holographic -theorem and scalar graviton modes are absent in this theory. After showing that ghost modes in the theory can be truncated consistently by appropriate boundary conditions, we argue that the theory is classically equivalent to Einstein gravity at the non-linear level. Black hole solutions are discussed in the view point of the full non-linear classical equivalence between the theory and Einstein gravity. Holographic entanglement entropy in the theory is also briefly commented on.
1+13 pages, improvements in presentation, references added, accepted to PRD
References in corpus (14)
- Massive Gravity in Three Dimensions
- Holographic c-theorems in arbitrary dimensions
- Seeing a c-theorem with holography
- Critical Gravity in Four Dimensions
- On Holographic Entanglement Entropy and Higher Curvature Gravity
- A new cubic theory of gravity in five dimensions: Black hole, Birkhoff's theorem and C-function
- Einstein Gravity from Conformal Gravity
- Entanglement Entropy, Trace Anomalies and Holography
- Critical Points of D-Dimensional Extended Gravities
- Born-Infeld extension of new massive gravity
- New massive gravity, extended
- c-functions in the Born-Infeld extended New Massive Gravity
- More on Massive 3D Supergravity
- New Massive Gravity and AdS_4 counterterms