Anisotropic fluid for a set of non-diagonal tetrads in f(T) gravity

Abstract

We consider $f(T)$ gravity for a Weitzenbock spherically symmetric and static spacetime, where the metric is projected in the tangent space to the manifold for a set of non-diagonal tetrads. The matter content is coupled through the energy momentum tensor of an anisotropic fluid, generating various classes of new black hole and wormhole solutions. One of these classes is that of cold black holes. We also perform the reconstruction scheme of the algebraic function $f(T)$ for two cases where the radial pressure is proportional to $f(T)$ and its first derivative.

12 pages. Accepted for publication in Physics Letters B (PLB)

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• Photon sphere and perihelion shift in weak $f(T)$ gravity
• A special exact spherically symmetric solution in f(T) gravity theories
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• Static spherically symmetric black holes in weak f(T)-gravity
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• First Order Formalism for Thick Branes in Modified Teleparallel Gravity
• Charged Black Holes in Generalized Teleparallel Gravity
• Bianchi type-I, type-III and Kantowski-Sachs solutions in f(T) gravity
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• Black-Bounce in $f(T)$ Gravity
• Born-Infeld and Charged Black Holes with non-linear source in $f(T)$ Gravity
• Compact star in $f(T)$ gravity with Tolman-Kuchowicz metric potential
• The Stability of Anisotropic Compact Stars Influenced by Dark Matter under Teleparallel Gravity: An Extended Gravitational Deformation Approach
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• Realistic f(T) model describing the de Sitter epoch of the dark energy dominated universe