Circularly symmetric solutions in three-dimensional Teleparallel, f(T) and Maxwell-f(T) gravity

Details Circularly symmetric solutions in three-dimensional Teleparallel, f(T) and Maxwell-f(T) gravity Circularly symmetric solutions in three-dimensional Teleparallel, f(T) and Maxwell-f(T) gravity

2011-10-18

arxiv.org/abs/1110.4024v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

21 pages, no figures

Scientific paper

We formulate teleparallel 3D gravity and we extract circularly symmetric solutions, showing that they coincide with the BTZ and Deser-de-Sitter solutions of standard 3D gravity. However, extending into f(T) 3D gravity, that is considering arbitrary functions of the torsion scalar in the action, we obtain "deformed" BTZ-like and Deser-de-Sitter-like solutions, without any requirement of the sign of the cosmological constant. Finally, extending our analysis incorporating the electromagnetic sector, we show that Maxwell-f(T) gravity accepts deformed charged BTZ-like solutions. Interestingly enough, the deformation in this case brings qualitatively novel terms, contrary to the pure gravitational solutions where the deformation is expressed only through changes in the coefficients. Such novel behaviors reveal the new features that the f(T) structure brings in 3D gravity.

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