#### Title

Five-dimensional teleparallel theory equivalent to general relativity, the axially symmetric solution, energy and spatial momentum

#### Document Type

Article

#### Publication Date

11-1-2011

#### Abstract

A theory of (4+1)-dimensional gravity is developed on the basis of the teleparallel theory equivalent to general relativity. The fundamental gravitational field variables are the five-dimensional vector fields (pentad), defined globally on a manifold M, and gravity is attributed to the torsion. The Lagrangian density is quadratic in the torsion tensor. We then give the exact five-dimensional solution. The solution is a generalization of the familiar Schwarzschild and Kerr solutions of the four-dimensional teleparallel equivalent of general relativity. We also use the definition of the gravitational energy to calculate the energy and the spatial momentum. © 2011 Chinese Physical Society and IOP Publishing Ltd.

#### Recommended Citation

Nashed, Gamal G.L., "Five-dimensional teleparallel theory equivalent to general relativity, the axially symmetric solution, energy and spatial momentum" (2011). *Centre for Theoretical Physics*. 134.

https://buescholar.bue.edu.eg/centre_theoretical_physics/134