6533b85cfe1ef96bd12bcaa6
RESEARCH PRODUCT
Palatini $f(R)$ Black Holes in Nonlinear Electrodynamics
Diego Rubiera-garciaGonzalo J. Olmosubject
PhysicsNuclear and High Energy PhysicsGeneral relativityKretschmann scalarFOS: Physical sciencesGeneral Relativity and Quantum Cosmology (gr-qc)CurvatureGeneral Relativity and Quantum CosmologyNonlinear systemFormalism (philosophy of mathematics)General Relativity and Quantum CosmologySingularityQuantum mechanicsGravitational singularitydescription
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 $1/(r-r_+)^{2}$.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2011-10-04 |