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arXiv · 1109.4209

Spherically symmetric static spacetimes in vacuum f(T) gravity

Rafael Ferraro·Franco Fiorini
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Abstract

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).

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Rafael Ferraro, Franco Fiorini. 2011-09-20. Spherically symmetric static spacetimes in vacuum f(T) gravity. https://doi.org/10.1103/physrevd.84.083518

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