Palatini-Born-Infeld Gravity, Bouncing Universe, and Black Hole Formation

TL;DR

This paper explores Palatini Born-Infeld gravity focusing on bouncing cosmology scenarios and black hole formation, highlighting differences from metric formalism and potential implications for early universe and black hole physics.

Contribution

It introduces the Palatini formalism of Born-Infeld gravity and analyzes conditions for cosmological bounces and black hole formation, offering new insights into gravitational dynamics.

Findings

Bouncing universe conditions identified within Palatini Born-Infeld gravity

Differences in propagating modes compared to metric formalism clarified

Speculations on black hole formation mechanisms presented

Abstract

We consider the Palatini formalism of the Born-Infeld gravity. In the Palatini formalism, the propagating mode is only graviton, whose situation is different from that in the metric formalism. We discuss about the FRW cosmology by using an effective potential. Especially we consider the condition that the bouncing could occur. We also give some speculations about the black hole formation