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TELEPARALLEL LAGRANGE GEOMETRY AND A UNIFIED FIELD THEORY: LINEARIZATION OF THE FIELD EQUATIONS

M. I. WANAS

Department of Astronomy, Faculty of Science, Cairo University, Egypt

Center for Theoretical Physics (CTP) at the British University in Egypt (BUE), Egypt

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NABIL L. YOUSSEF

Department of Mathematics, Faculty of Science, Cairo University, Egypt

Center for Theoretical Physics (CTP) at the British University in Egypt (BUE), Egypt

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, and

A. M. SID-AHMED

Department of Mathematics, Faculty of Science, Cairo University, Egypt

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https://doi.org/10.1142/S0219887812500922Cited by:1 (Source: Crossref)

Abstract

This paper is a natural continuation of our previous paper: "Teleparallel Lagrange geometry and a unified field theory, Class. Quantum Grav.27 (2010) 045005 (29 pp)". In this paper, we apply a linearization scheme on the field equations obtained in the above-mentioned paper. Three important results under the linearization assumption are accomplished. First, the vertical fundamental geometric objects of the EAP-space lose their dependence on the positional argument x. Secondly, our linearized theory in the Cartan-type case coincides with the GFT in the first-order of approximation. Finally, an approximate solution of the vertical field equations is obtained.

Keywords:

AMSC: 53B40, 53B50, 53Z05, 83C22

PACS: 04.50-h, 12.10-g, 45.10.Na, 02.40.Hw, 02.40.Ma

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