Born-Infeld extension of new massive gravity

Abstract

We present a three-dimensional gravitational Born-Infeld theory which reduces to the recently found New Massive Gravity (NMG) at the quadratic level in the small curvature expansion and at the cubic order reproduces the deformation of NMG obtained from AdS/CFT. Our action provides a remarkable extension of NMG to all orders in the curvature, and might define a consistent quantum gravity.

4 pages, references added, version to appear in Class. Quantum Gravity as a Fast Track Communication

References in corpus (8)

• Massive Gravity in Three Dimensions
• More on Massive 3D Gravity
• Three-dimensional black holes, gravitational solitons, kinks and wormholes for BHT massive gravity
• Ghost-free, finite, fourth order D=3 (alas) gravity
• Warped AdS_3 black holes in new massive gravity
• On the Generalized Massive Gravity in $Ad{S}_3$
• Canonical Structure of Higher Derivative Gravity in 3D
• Born-Infeld-Horava gravity

Cited by in corpus (14)

• New massive gravity, extended
• c-functions in the Born-Infeld extended New Massive Gravity
• Unitarity analysis of general Born-Infeld gravity theories
• Quasi Normal Modes for New Type Black Holes in New Massive Gravity
• Boundary stress tensor and counterterms for weakened AdS_3 asymptotic in New Massive Gravity
• Charged Black Holes in New Massive Gravity
• New Massive Gravity and AdS_4 counterterms
• Higgs Mechanism for New Massive Gravity and Weyl Invariant Extensions of Higher Derivative Theories
• On higher derivative gravity, c-theorems and cosmology
• All Bulk and Boundary Unitary Cubic Curvature Theories in Three Dimensions
• On Born-Infeld Gravity in Three Dimensions
• All stationary axi-symmetric local solutions of topologically massive gravity
• Deeper discussion of Schrödinger invariant and Logarithmic sectors of higher-curvature gravity
• Generalised massive gravity one-loop partition function and AdS/(L)CFT