Born-Infeld Gravity Revisited

Abstract

In this paper we investigate the behavior of linearized gravitational excitation in the Born-Infeld Gravity in $Ad{S}_3$ space. We obtain the linearized equation of motion and show that this higher order gravity propagate two gravitons, massless and massive, on the $Ad{S}_3$ background. In contrast to the $R^2$ models, such as TMG or NMG, Born-Infeld Gravity does not have a critical point for any regular choice of parameters. So the logarithmic solution is not a solution of this model, due to this one can not find a logarithmic conformal field theory as a dual model for Born-Infeld Gravity.

11 pages

References in corpus (21)

• Massive Gravity in Three Dimensions
• More on Massive 3D Gravity
• Critical Gravity in Four Dimensions
• Lifshitz Black Hole in Three Dimensions
• Critical Points of D-Dimensional Extended Gravities
• Warped AdS_3 black holes in new massive gravity
• Born-Infeld extension of new massive gravity
• On Unitarity of Massive Gravity in Three Dimensions
• On Higher Derivatives in 3D Gravity and Higher Spin Gauge Theories
• AdS_3/LCFT_2 - Correlators in New Massive Gravity
• AdS Waves as Exact Solutions to Quadratic Gravity
• Modes of Log Gravity
• Unitarity analysis of general Born-Infeld gravity theories
• Erratum to `Instability in cosmological topologically massive gravity at the chiral point', arXiv:0805.2610
• Canonical Structure of Higher Derivative Gravity in 3D
• New Massive Gravity and AdS_4 counterterms
• Massive Gravity with Mass Term in Three Dimensions
• All Bulk and Boundary Unitary Cubic Curvature Theories in Three Dimensions
• On Born-Infeld Gravity in Three Dimensions
• Counterterms, critical gravity and holography
• Born-Infeld Type Extension of (Non-)Critical Gravity