Palatini-Born-Infeld gravity and black hole formation

Abstract

The Born-Infeld gravity is a modified gravity motivated by the quantum gravity, which has the ability to get rid of the big bang and other singularities. We consider the Palatini formalism of the Born-Infeld gravity and investigate the FRW cosmology by using an effective potential. It is shown that the big bang singularity does not always emerge but the scale factor can be bounced. Based on this result, we also study the black hole formation for spherical dust collapse, and find that the dust ball does not always collapse into a singularity.