Spherically symmetric static spacetimes in vacuum f(T) gravity

FRANCO FIORINI AND RAFAEL FERRARO

PHYSICAL REVIEW D - PARTICLE AND FILDS

APS

Año: 2011 vol. 84 p. 83518 - 83525

0556-2821

We show that Schwarzschild geometry remains as a vacuum solution for those four-dimensional f(T) gravitational theories behaving as ultraviolet deformations of general relativity. In the gentler context of three-dimensional gravity, we also find that the infrared-deformed f(T) gravities, like the ones used to describe the late cosmic speed up of the Universe, have as the circularly symmetric vacuum solution a Deser-de Sitter or a BTZ-like spacetime with an effective cosmological constant depending on the infrared scale present in the function f(T).