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

References in corpus (15)

• Dark torsion as the cosmic speed-up
• Modified teleparallel gravity: inflation without inflaton
• Einstein's Other Gravity and the Acceleration of the Universe
• On Born-Infeld Gravity in Weitzenbock spacetime
• Cosmological perturbations in f(T) gravity
• Observational constraints on $f(T)$ theory
• f(T) gravity mimicking dynamical dark energy. Background and perturbation analysis
• Generalizations of teleparallel gravity and local Lorentz symmetry
• Reconstructing the universe history, from inflation to acceleration, with phantom and canonical scalar fields
• $f(T)$ models with phantom divide line crossing
• Growth factor in f(T) gravity
• Observational information for f(T) theories and Dark Torsion
• Static Solutions with Spherical Symmetry in f(T) Theories
• Initial and final de Sitter universes from modified $f(R)$ gravity
• A special exact spherically symmetric solution in f(T) gravity theories

Cited by in corpus (1)

• Geodesic Deviation Equation in $f(T)$ gravity