A type of Born-Infeld regular gravity and its cosmological consequences

TL;DR

This paper introduces a Born-Infeld inspired modification to teleparallel gravity, which resolves the initial singularity and naturally induces inflation in a flat FRW universe without additional fields.

Contribution

It develops a novel Born-Infeld deformation of teleparallel gravity that results in second order equations and addresses cosmological singularities and inflation.

Findings

Cures the initial singularity in flat FRW universe

Provides a natural inflationary phase without inflaton

Establishes a maximum spacetime curvature

Abstract

Born-Infeld deformation strategy to smooth theories having divergent solutions is applied to the teleparallel equivalent of General Relativity. The equivalence between teleparallelism and General Relativity is exploited to obtain a deformed theory of gravity based on second order differential equations, since teleparallel Lagrangian is built just from first derivatives of the vierbein. We show that Born-Infeld teleparallelism cures the initial singularity in a spatially flat FRW universe; moreover, it provides a natural inflationary stage without resorting to an inflaton field. The Born-Infeld parameter bounds the dynamics of Hubble parameter H(t) and establishes a maximum attainable spacetime curvature.