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

doi:10.1088/1674-1056/22/2/020401

中国物理B ›› 2013, Vol. 22 ›› Issue (2): 20401-020401.doi: 10.1088/1674-1056/22/2/020401

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

Gamal G. L. Nashed^{a b}

a Center for Theoretical Physics, British University in Egypt, Sherouk City 11837, P. O. Box 43, Egypt;
b Mathematics Department, Faculty of Science, Ain Shams University, Cairo, 11566, Egypt

收稿日期:2012-04-05 修回日期:2012-09-03 出版日期:2013-01-01 发布日期:2013-01-01

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

Gamal G. L. Nashed^{a b}

a Center for Theoretical Physics, British University in Egypt, Sherouk City 11837, P. O. Box 43, Egypt;
b Mathematics Department, Faculty of Science, Ain Shams University, Cairo, 11566, Egypt

Received:2012-04-05 Revised:2012-09-03 Online:2013-01-01 Published:2013-01-01
Contact: Gamal G. L. Nashed E-mail:nashed@bue.edu.edu.eg

摘要/Abstract

摘要： 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.

关键词: (N+1)-dimensional teleparallel equivalent of general relativity, five-dimensional solution, energy and momentum

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.

Key words: (N+1)-dimensional teleparallel equivalent of general relativity, five-dimensional solution, energy and 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. Spherically symmetric solution in higher-dimensional teleparallel equivalent of general relativity[J]. 中国物理B, 2013, 22(2): 20401-020401.

Gamal G. L. Nashed. Spherically symmetric solution in higher-dimensional teleparallel equivalent of general relativity[J]. Chin. Phys. B, 2013, 22(2): 20401-020401.

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

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

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