1209.6559 (Dagoberto Escobar)

Born-Infeld type modification of the gravity    [PDF]

Dagoberto Escobar

We study a non linear modification to General Relativity in which the standard Einstein-Hilbert action is replaced by a Born-Infeld-type action. Also study us the masses of the linearized propagating degrees of freedom because these are important to judge about the stability of the linearization around vacuum background spaces. The particle content of gravitational spectrum of the linearized theory shows the existence of massless gravitons plus new degree of freedom of spin-0 asociated with R2 term. For a toy model we proved that for appropriate values of the background curvature, this theory is free of ghost, Ricci instability and tachyon instability also has a positive effective gravitational coupling. We find the scalar-tensor theory equivalent at this f(R)-theory in the Einstein frame, and we study some properties of the scalar potential.

View original: http://arxiv.org/abs/1209.6559