Solution of a Class of Nonlinear Matrix Differential Equations with Application to General Relativity
Five-dimensional general relativity (5DGR) or Kaluza–Klein theory (KKT) [Le84] is considered as a first step towards unification of electromagnetism and gravitation. 5DGR action may be extended by appropriate quadratic terms making up the Gauss–Bonnet term (GBT) to obtain more generalized field equations including up to second–order derivatives of the metric [Lo71].
KeywordsRegular Solution Similarity Transformation Cosmic String Killing Vector Singular Solution
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- [Le84]Lee, H.C. (ed.): An Introduction to Kaluza-Klein Theories, World Scientific, Singapore (1984).Google Scholar