6533b852fe1ef96bd12aa4d7

RESEARCH PRODUCT

Nonsingular Black Holes in $f(R)$ Theories

Diego Rubiera-garciaGonzalo J. Olmo

subject

PhysicsHigh Energy Physics - TheoryAngular momentumGeodesicNull (mathematics)General Physics and AstronomyFOS: Physical sciencesnonsingular black holesGeneral Relativity and Quantum Cosmology (gr-qc)Type (model theory)CurvaturewormholesGeneral Relativity and Quantum Cosmologylaw.inventionGeneral Relativity and Quantum CosmologySingularityInvertible matrixHigh Energy Physics - Theory (hep-th)lawWormholemodified gravityMathematical physics

description

We study the structure of a family of static, spherically symmetric space-times generated by an anisotropic fluid and governed by a particular type of $f(R)$ theory. We find that for a range of parameters with physical interest, such solutions represent black holes with the central singularity replaced by a finite size wormhole. We show that time-like geodesics and null geodesics with nonzero angular momentum never reach the wormhole throat due to an infinite potential barrier. For null radial geodesics, it takes an infinite affine time to reach the wormhole. This means that the resulting space-time is geodesically complete and, therefore, nonsingular despite the generic existence of curvature divergences at the wormhole throat.

10.3390/universe1020173http://arxiv.org/abs/1509.02430