D. Rubiera-Garcia

Palatini f ( R ) black holes in nonlinear electrodynamics

The electrically charged Born-Infeld black holes in the Palatini formalism for

Geonic black holes and remnants in Eddington-inspired Born–Infeld gravity

f(R)

Born-Infeld gravity and its functional extensions

theories are analyzed. Specifically we study those supported by a theory

Reissner-Nordstr\"om black holes in extended Palatini theories

f(R)=R\ifmmode\pm\else\textpm\fi{}{R}^{2}/{R}_{P}

Nonsingular black holes in quadratic Palatini gravity

, where

Importance of torsion and invariant volumes in Palatini theories of gravity

{R}_{P}

Born-Infeld inspired modifications of gravity

is Plancks curvature. These black holes only differ from their General Relativity counterparts very close to the center but may give rise to different geometrical structures in terms of inner horizons. The nature and strength of the central singularities are also significantly affected. In particular, for the model

Nonsingular Black Holes in

f(R)=R\ensuremath{-}{R}^{2}/{R}_{P}

f(R)

the singularity is shifted to a finite radius,

Theories

{r}_{+}