Born-Infeld-Horava gravity

TL;DR

This paper introduces Born-Infeld gravity theories in 3+1 dimensions that extend Horava's gravity to infinite dynamical critical exponent z, and recover finite z models in small curvature limits.

Contribution

It constructs exact Born-Infeld gravity actions that generalize Horava's model to infinite z and connects them to finite z models through small curvature expansion.

Findings

Exact Born-Infeld actions extend Horava gravity to z->infinity.

In small curvature limit, the theories reproduce finite z models.

Some models include half-integer z values.

Abstract

We define various Born-Infeld gravity theories in 3+1 dimensions which reduce to Horava's model at the quadratic level in small curvature expansion. In their exact forms, our actions provide z->(infinity) extensions of Horava's gravity, but when small curvature expansion is used, they reproduce finite z models, including some half-integer ones.