Spherically symmetric solution in higher-dimensional teleparallel equivalent of general relativity

Document Type

Article

Publication Date

2-1-2013

Abstract

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.

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