Spherically symmetric static spacetimes in vacuum f ( T ) gravity

By R. Ferraro, Franco Fiorini. 2011

173 citations recorded by the source corpus.

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 Ba\~nados, Teitelboim and Zanelli-like spacetime with an effective cosmological constant depending on the infrared scale present in the function $f(T)$.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/231ebcc57bfc3a4bfed5fd2cb4280f04ab017740

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Citations in the corpus

Solar system constraints on f(T) gravity (2012, methodology): “…Setare & Houndjo (2012), Liuet al. (2012), Wu & Yu (2010b), Bengochea (2011), Gonzalez et al. (2012), Daouda et al. (2011), Daouda et al. (2012a), Boehmeret al (2011), Daouda et al. (2012b), Ferraro & Fiorini (2011c), Wang (2011), Miao et al. (2011), Wei et al (2012), Ferraro & Fiorini (2011b)).”
Teleparallel theories of gravity: illuminating a fully invariant approach (2018, methodology): “Using this method it was shown that the well known Schwarzschild [41], Kerr [42] and McVittie [43] solutions of general relativity solve f(T ) gravity as well.”