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 (44)
- Gauge Theory Correlators from Non-Critical String Theory
- The Large N Limit of Superconformal Field Theories and Supergravity
- The World as a Hologram
- Black Hole Entropy is Noether Charge
- Massive Gravity in Three Dimensions
- On Black Hole Entropy
- Dimensional Reduction in Quantum Gravity
- Holographic c-theorems in arbitrary dimensions
- Holographic Dual of BCFT
- Energy in Generic Higher Curvature Gravity Theories
- Chiral Gravity in Three Dimensions
- Seeing a c-theorem with holography
- Aspects of AdS/BCFT
- Black Holes in Quasi-topological Gravity
- Critical Gravity in Four Dimensions
- Instability in cosmological topologically massive gravity at the chiral point
- Diffeomorphisms and Holographic Anomalies
- 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
- Holographic Entanglement Entropy in Lovelock Gravities
- Einstein Gravity from Conformal Gravity
- Entanglement Entropy, Trace Anomalies and Holography
- On the new massive gravity and AdS/CFT
- Critical Points of D-Dimensional Extended Gravities
- Born-Infeld extension of new massive gravity
- Conformal Gravity and Extensions of Critical Gravity
- New massive gravity, extended
- c-functions in the Born-Infeld extended New Massive Gravity
- AdS Black Hole Solutions in the Extended New Massive Gravity
- More on Massive 3D Supergravity
- New Massive Gravity and AdS_4 counterterms
- Some exact solutions of all f(Ricci) theories in three dimensions
- Higher Derivative Corrections to Holographic Entanglement Entropy for AdS Solitons
- On massive gravitons in 2+1 dimensions
- Black Holes in Born-Infeld Extended New Massive Gravity
- Critical and Non-Critical Einstein-Weyl Supergravity
- On asymptotically AdS-like solutions of three dimensional massive gravity
- Counterterms, critical gravity and holography
- Noncritical Einstein-Weyl Gravity and the AdS/CFT Correspondence
- New Massive Gravity Domain Walls
- Type N Spacetimes as Solutions of Extended New Massive Gravity
- AdS/BCFT Correspondence for Higher Curvature Gravity: An Example
- On Classical Equivalence Between Noncritical and Einstein Gravity : The AdS/CFT Perspectives
- Domain Walls in Extended Lovelock Gravity