Born-Infeld type Gravity

TL;DR

This paper explores generalized Born-Infeld gravity theories, identifying a specific effective lagrangian that satisfies key physical constraints and depends on particular curvature tensors, potentially offering a ghost-free alternative to Einstein gravity.

Contribution

It introduces a class of Born-Infeld type gravitational lagrangians and determines a unique effective form consistent with physical and phenomenological constraints.

Findings

Identifies a specific effective lagrangian compatible with Einstein-Hilbert reduction

Ensures ghost freedom and absence of Coulomb-like singularities

Highlights the role of R_{ ho \sigma} and R in the dynamics

Abstract

Generalizations of gravitational Born-Infeld type lagrangians are investigated. Phenomenological constraints (reduction to Einstein-Hilbert action for small curvature, spin two ghost freedom and absence of Coulomb like Schwarschild singularity) select one effective lagrangian whose dynamics is dictated by the tensors g_{\mu\nu} and R_{\mu\nu\rho\sigma}(not R_{\mu\nu} or the scalar R).