Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2009-05-02
Classical and Quantum Gravity, 27 (2010), 045005, 1-29
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
Latex file, 33 pages
Scientific paper
10.1088/0264-9381/27/4/045005
In this paper, we construct a field theory unifying gravity and electromagnetism in the context of Extended Absolute Parallelism (EAP-) geometry. This geometry combines, within its structure, the geometric richness of the tangent bundle and the mathematical simplicity of Absolute Parallelism (AP-) geometry. The constructed field theory is a generalization of the Generalized Field Theory (GFT) formulated by Mikhail and Wanas. The theory obtained is purely geometric. The horizontal (resp. vertical) field equations are derived by applying the Euler-Lagrange equations to an appropriate horizontal (resp. vertical) scalar Lagrangian. The symmetric part of the resulting horizontal (resp. vertical) field equations gives rise to a generalized form of Einstein's field equations in which the horizontal (resp. vertical) energy-momentum tensor is purely geometric. The skew-symmetric part of the resulting horizontal (resp. vertical) field equations gives rise to a generalized form of Maxwell equations in which the electromagnetic field is purely geometric. Some interesting special cases, which reveal the role of the nonlinear connection in the obtained field equations, are examined. Finally, the condition under which our constructed field equations reduce to the GFT is explicitly established.
Sid-Ahmed Amr M.
Wanas M. I.
Youssef Nabil L.
No associations
LandOfFree
Teleparallel Lagrange Geometry and a Unified Field Theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Teleparallel Lagrange Geometry and a Unified Field Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Teleparallel Lagrange Geometry and a Unified Field Theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-101056