PT Journal AU Olmo, GJ Rubiera-Garcia, D TI Palatini f(R) black holes in nonlinear electrodynamics SO Physical Review D JI Phys. Rev. D PY 2011 BP 124059 EP 14pp VL 84 IS 12 DI 10.1103/PhysRevD.84.124059 LA English AB The electrically charged Born-Infeld black holes in the Palatini formalism for f(R) theories are analyzed. Specifically we study those supported by a theory f(R) = R +/- R(2)/R(P), where R(P) is Planck's 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 f(R) = R – R(2)/R(P) the singularity is shifted to a finite radius, r(+), and the Kretschmann scalar diverges only as 1/(r-r(+))(2). ER