Palatini $f(R)$ Black Holes in Nonlinear Electrodynamics

Details Palatini $f(R)$ Black Holes in Nonlinear Electrodynamics Palatini $f(R)$ Black Holes in Nonlinear Electrodynamics

2011-10-04

arxiv.org/abs/1110.0850v1

Phys. Rev. D 84, 124059 (2011)

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, 9 figures, revtex4-1 class

Scientific paper

10.1103/PhysRevD.84.124059

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 $f(R)=R\pm R^2/R_P$, 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 $1/(r-r_+)^{2}$.

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