Cylindrical Solutions in Modified f(T) Gravity
arXiv:1206.3938 · doi:10.1142/S0218271812500939
Abstract
We investigate static cylindrically symmetric vacuum solutions in Weyl coordinates in the framework of f(T) theories of gravity, where T is the torsion scalar. The set of modified Einstein equations is presented and the fourth coming equations are established. Specific physical expressions are assumed for the algebraic function f(T) and solutions are obtained. Moreover, general solution is obtained with finite values of u(r) on the axis r = 0, and this leads to a constant torsion scalar. Also, cosmological constant is introduced and its relation to Linet-Tian solution in GR is commented.
13 pages; Accepted for publication in International Journal of Modern Physics D (IJMPD)
References in corpus (13)
- 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
- Solar system constraints on f(T) gravity
- Cylindrical solutions in metric f(R) gravity
- Attractor Solutions in f(T) Cosmology
- Noether symmetry of F(T) cosmology with quintessence and phantom scalar fields
- Resolution of dark matter problem in f(T) gravity
- Pure kinetic k-essence as the cosmic speed-up
- Accelerating cosmology in F(T) gravity with scalar field
- Accelerating Universe with spacetime torsion but without dark matter and dark energy
- Morgan-Morgan-NUT disk space via the Ehlers transformation