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Chin. Phys. B, 2012, Vol. 21(10): 100401    DOI: 10.1088/1674-1056/21/10/100401
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Cosmological application on five-dimensional teleparallel theory equivalent to general relativity

Gamal G. L. Nasheda 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
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.
Keywords:  5D teleparallel equivalent of general relativity      5D solutions      cosmological parameters      cosmological problems  
Received:  08 February 2012      Revised:  08 April 2012      Published:  01 September 2012
PACS:  04.20.Jb (Exact solutions)  
  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)  
Corresponding Authors:  Gamal G. L. Nashed     E-mail:  nashed@bue.edu.eg

Cite this article: 

Gamal G. L. Nashed Cosmological application on five-dimensional teleparallel theory equivalent to general relativity 2012 Chin. Phys. B 21 100401

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