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

Abstract

We present 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 BTZ-like and Deser-de-Sitter-like solutions, corresponding to an effective cosmological constant, without any requirement of the sign of the initial 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. We investigate the singularities and the horizons of the new solutions, and amongst others we show that the cosmic censorship can be violated. Such novel behaviors reveal the new features that the f(T) structure brings in 3D gravity.

33 pages, 6 figures, significant improvement, version published at JHEP

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• Nonminimal torsion-matter coupling extension of f(T) gravity
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• Anisotropic Universe Models in f(T) Gravity
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• Dynamical features of scalar-torsion theories
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• A special exact spherically symmetric solution in f(T) gravity theories
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• Quasinormal modes of black holes in f(T) gravity
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• Importance of torsion and invariant volumes in Palatini theories of gravity
• Matter Density Perturbations in Modified Teleparallel Theories
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• Deflection angle and lensing signature of covariant f(T) gravity
• Charged Black Holes in Generalized Teleparallel Gravity
• Noether Symmetries and Quantum Cosmology in Extended Teleparallel Gravity
• Constraining the Schwarzschild-de Sitter Solution in Models of Modified Gravity
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• Thermodynamic schemes of charged BTZ-like black holes in arbitrary dimensions
• Geodesically complete BTZ-type solutions of $2+1$ Born-Infeld gravity
• Black Holes, Dark Wormholes and Solitons in f(T) Gravities
• Superbounce and Loop Quantum Ekpyrotic Cosmologies from Modified Gravity: $F(R)$, $F(G)$ and $F(T)$ Theories
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• Dirac field as a source of the inflation in 2+1 dimensional Teleparallel gravity
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• Phase Space description of Nonlocal Teleparallel Gravity
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