Schwarzschild solution in extended teleparallel gravity

Abstract

Tetrad field, with two unknown functions of radial coordinate and an angle $\Phi$ which is the polar angle $\varphi$ times a function of the redial coordinate, is applied to the field equation of modified theory of gravity. Exact vacuum solution is derived whose scalar torsion, $T={T^{\alpha }}_{\mu \nu }{S_{\alpha }}^{\mu \nu }$, is constant. When the angle $\Phi$ coincides with the polar angle $\varphi$, the derived solution will be a solution only for linear form of $f(T)$ gravitational theory.

8 pages Latex

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• Reconstruction of $f(T)$-gravity in the absence of matter
• Bianchi identities in f(T) gravity: paving the way to confrontation with astrophysics
• Geodesic Deviation Equation in $f(T)$ gravity
• Issues of Lorentz-invariance in f(T) gravity and calculations for spherically symmetric solutions
• Approaches to spherically symmetric solutions in f(T) gravity
• Equivalence of non-minimally coupled cosmologies by Noether symmetries
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• Evaporation of Black Hole Under the Effect of Quantum Gravity
• Model of hybrid star with baryonic and strange quark matter in Tolman-Kuchowicz spacetime
• Revisiting diagonal tetrads: New Black Hole solutions in $f(T)$ gravity
• Black Holes, Dark Wormholes and Solitons in f(T) Gravities
• Thermodynamic and Optical Behaviors of Quintessential Hayward-AdS Black Holes
• Rotating black hole in $f(R)$ theory
• Consistency between black hole and mimetic gravity -- Case of $(2+1)$-dimensional gravity
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• Renormalizability of alternative theories of gravity: differences between power counting and entropy argument
• Weak Deflection angle of some classes of non-linear electrodynamics black holes via Gauss-Bonnet Theorem
• Black holes with Lagrange multiplier and potential in mimetic-like gravitational theory: multi-horizon black holes
• Background-dependent and classical correspondences between $f(Q)$ and $f(T)$ gravity
• An innovative black hole solution and thermodynamic properties in higher-order curvature gravity with a scalar field