Abstract
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].
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References
Azreg-Aïnou, M.: Quadratic superconducting cosmic strings revisited. Europhys. Lett., 81, article 60003 (2008).
Azreg-Aïnou, M., Clément, G.: Kaluza–Klein and Gauss–Bonnet cosmic strings. Class. Quantum Grav., 13, 2635–2650 (1996).
Lancaster, P., Tismenetsky, M.: The Theory of Matrices with Applications, Academic Press, Orlando, FL (1985).
Lee, H.C. (ed.): An Introduction to Kaluza-Klein Theories, World Scientific, Singapore (1984).
Lovelock, D.: The Einstein tensor and its generalizations. J. Math. Phys., 12, 498–501 (1971).
Wald, R.M.: General Relativity, University of Chicago Press, Chicago (1984).
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Azreg-Aïnou, M. (2010). Solution of a Class of Nonlinear Matrix Differential Equations with Application to General Relativity. In: Constanda, C., Pérez, M. (eds) Integral Methods in Science and Engineering, Volume 1. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4899-2_5
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DOI: https://doi.org/10.1007/978-0-8176-4899-2_5
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