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

doi:10.1088/1674-1056/20/11/110402

摘要/Abstract

摘要： 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.

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.

Key words: five-dimensional teleparallel equivalent of general relativity, five-dimensional solution, energy and spatial momentum

中图分类号: (Exact solutions)

04.20.Jb

04.50.-h (Higher-dimensional gravity and other theories of gravity) 04.50.Gh (Higher-dimensional black holes, black strings, and related objects) 04.50.Kd (Modified theories of gravity)

Gamal G.L. Nashed. Five-dimensional teleparallel theory equivalent to general relativity, the axially symmetric solution, energy and spatial momentum[J]. 中国物理B, 2011, 20(11): 110402-110402.

Gamal G.L. Nashed . Five-dimensional teleparallel theory equivalent to general relativity, the axially symmetric solution, energy and spatial momentum[J]. Chin. Phys. B, 2011, 20(11): 110402-110402.

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