Born-Infeld Gravity Revisited

TL;DR

This paper analyzes linearized gravitational excitations in Born-Infeld Gravity within $AdS_3$, revealing it propagates both massless and massive gravitons without critical points, unlike other higher-order gravity models.

Contribution

It provides the first detailed analysis of graviton propagation in Born-Infeld Gravity in $AdS_3$, showing the absence of critical points and logarithmic solutions.

Findings

Propagates two gravitons: massless and massive.

No critical point exists for any regular parameters.

Logarithmic solutions are not present, ruling out dual logarithmic CFTs.

Abstract

In this paper we investigate the behavior of linearized gravitational excitation in the Born-Infeld Gravity in $AdS_3$ space. We obtain the linearized equation of motion and show that this higher order gravity propagate two gravitons, massless and massive, on the $AdS_3$ 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.