Spherically Symmetric Solutions on a Non-Trivial Frame in f(T) Theories of Gravity

Abstract

A new solution with constant torsion is derived using the field equations of f(T). Asymptotic forms of energy density, radial and transversal pressures are shown to meet the standard energy conditions, i.e., weak and null energy conditions according to some restrictions on T0, f(T0) and fT(T0). Other solutions are obtained for vanishing radial pressure and for specific choices of f(T). The physics relevant to the resulting models is discussed.

6 pages, 4 figures, published version

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• Analytic rotating black hole solutions in $N$-dimensional $f(T)$ gravity
• Rotating and non-rotating AdS black holes in $f(\mathcal{T})$ gravity non-linear electrodynamics
• Planar Symmetry in f(T) gravity
• Lorenz Gauge Fixing of $f(T)$ Teleparallel Cosmology
• Evaporation phenomena in f(T) gravity
• Generic Phase Portrait Analysis of the Finite-time Singularities and Generalized Teleparallel Gravity
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• Influence of pressure anisotropy and non-metricity parameter on mass-radius relation and stability of millisecond pulsar in $f(Q)$ gravity
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