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

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...

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Bibliographic Details
Published inChinese physics B Vol. 21; no. 10; pp. 122 - 129
Main Author Nashed, Gamal G. L.
Format Journal Article
LanguageEnglish
Published 01.10.2012
Subjects
Density
Equivalence
Fields (mathematics)
Gravitation
Gravitational fields
Mathematical analysis
Relativity
Torsion
五维
几何结构
各向同性
向量场
宇宙学参数
广义相对论
应用
引力场
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ISSN1674-1056
2058-3834
1741-4199
DOI10.1088/1674-1056/21/10/100401

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Summary: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.
Bibliography:Gamal G.L.Nashed（ 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
11-5639/O4
5D teleparallel equivalent of general relativity; 5D solutions; cosmological parameters; cosmological problems
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.
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ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/21/10/100401