Spherically symmetric solution in higher-dimensional teleparallel equivalent of general relativity
A theory of (N+1)-dimensional gravity is developed on the basis of the teleparallel equivalent of general relativity (TEGR). The fundamental gravitational field variables are the (N+1)-dimensional vector fields, defined globally on a manifold M, and the gravitational field is attributed to the torsion. The form of Lagrangian density is quadratic in torsion tensor. We then give an exact five-dimensional spherically symmetric solution (Schwarzschild (4+1)-dimensions). Finally, we calculate energy and spatial momentum using gravitational energy - momentum tensor and superpotential 2-form. © 2013 Chinese Physical Society and IOP Publishing Ltd.
Nashed, Gamal G.L., "Spherically symmetric solution in higher-dimensional teleparallel equivalent of general relativity" (2013). Centre for Theoretical Physics. 118.