#### Title

Local Lorentz transformation and exact solution in f(T) gravity theories

#### Document Type

Article

#### Publication Date

12-1-2013

#### Abstract

A general tetrad fields, with an arbitrary function of radial coordinate, preserving spherical symmetry, is provided. Such tetrad is split into two matrices: The first matrix represents a Local Lorentz Transformation (LLT), which contains an arbitrary function. The second matrix represents a proper tetrad fields which satisfy the field equations of f(T) gravitational theory. This general tetrad is applied to the field equations of f(T). We derive a solution with one constant of integration to the resulting field equations of f(T). This solution gives a vanishing value of the scalar torsion. We calculate the energy associated with this solution to investigate what is the nature of the constant of integration. © 2013 Springer Science+Business Media Dordrecht.

#### Recommended Citation

Nashed, Gamal G.L., "Local Lorentz transformation and exact solution in f(T) gravity theories" (2013). *Centre for Theoretical Physics*. 111.

https://buescholar.bue.edu.eg/centre_theoretical_physics/111