期刊
MATHEMATICAL AND COMPUTER MODELLING
卷 43, 期 5-6, 页码 458-465出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.mcm.2005.10.008
关键词
computer algebra; gauge theory; gravitation; analytical program
A gauge theory for gravitation is constructed with the de-Sitter group as structural group and having a Minkowski space-time in spherical coordinates as base manifold. It is supposed that the gravitational field is created by a point-like source of mass in that also has an electrical charge Q. The strength tensors of the gravitational gauge fields are calculated and the field equations are obtained using the energy-momentum tensor for the electromagnetic field. The solutions of these equations are also studied. It is shown that one of the solutions includes simultaneously the Schwarzschild, Reissner-Nordstrom and de-Sitter metrics. All the calculations, including the integration of the field equations, have been performed using an analytical program written by us in the package GRTensorII. The program can be applied to any gauge theory having both space-time and internal local symmetries. (c) 2006 Published by Elsevier Ltd.
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