Cosmological application on five-dimensional teleparallel theory equivalent to general relativity

doi:10.1088/1674-1056/21/10/100401

中国物理B ›› 2012, Vol. 21 ›› Issue (10): 100401-100401.doi: 10.1088/1674-1056/21/10/100401

Cosmological application on five-dimensional teleparallel theory equivalent to general relativity

Gamal G. L. Nashed^{a b c}

a Mathematics Department, Faculty of Science, King Faisal University, P. O. Box 380, Al-Ahsaa 31982, the Kingdom of Saudi Arabia;
b Mathematics Department, Faculty of Science, Ain Shams University, Cairo 11566, Egypt;
c Center for Theoretical Physics, British University of Egypt, Sherouk City 11837, P. O. Box 43, Egypt

收稿日期:2012-02-08 修回日期:2012-04-08 出版日期:2012-09-01 发布日期:2012-09-01

Cosmological application on five-dimensional teleparallel theory equivalent to general relativity

Gamal G. L. Nashed^{a b c}

a Mathematics Department, Faculty of Science, King Faisal University, P. O. Box 380, Al-Ahsaa 31982, the Kingdom of Saudi Arabia;
b Mathematics Department, Faculty of Science, Ain Shams University, Cairo 11566, Egypt;
c Center for Theoretical Physics, British University of Egypt, Sherouk City 11837, P. O. Box 43, Egypt

Received:2012-02-08 Revised:2012-04-08 Online:2012-09-01 Published:2012-09-01
Contact: Gamal G. L. Nashed E-mail:nashed@bue.edu.eg

摘要/Abstract

摘要： A theory of (4+1)-dimensional gravity has been developed on the basis of which equivalent to the theory of general relativity by teleparallel. The fundamental gravitational field variables are the 5-dimensional (5D) 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 apply the field equations to two different homogenous and isotropic geometric structures which give the same line element, i.e., FRW in five dimensions. The cosmological parameters are calculated and some cosmological problems are discussed.

关键词: 5D teleparallel equivalent of general relativity, 5D solutions, cosmological parameters, cosmological problems

Abstract: A theory of (4+1)-dimensional gravity has been developed on the basis of which equivalent to the theory of general relativity by teleparallel. The fundamental gravitational field variables are the 5-dimensional (5D) 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 apply the field equations to two different homogenous and isotropic geometric structures which give the same line element, i.e., FRW in five dimensions. The cosmological parameters are calculated and some cosmological problems are discussed.

Key words: 5D teleparallel equivalent of general relativity, 5D solutions, cosmological parameters, cosmological problems

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. Cosmological application on five-dimensional teleparallel theory equivalent to general relativity[J]. 中国物理B, 2012, 21(10): 100401-100401.

Gamal G. L. Nashed. Cosmological application on five-dimensional teleparallel theory equivalent to general relativity[J]. Chin. Phys. B, 2012, 21(10): 100401-100401.

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Cosmological application on five-dimensional teleparallel theory equivalent to general relativity

Cosmological application on five-dimensional teleparallel theory equivalent to general relativity

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