The Born-Infeld Gravity in the Palatini Formalism and the Condition of the Black Hole Formation

In recent years, many kinds of modified gravity theories are suggested to get over problems in the general relativity. We consider a kind of modified gravity theories “Born- Infeld gravity in the Palatini formalism” and apply this theory to the black hole formation by considering the spherically symmetric collapse of the dust ball. We find the condition for the mass that the black hole horizon is formed.