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Solution of a Class of Nonlinear Matrix Differential Equations with Application to General Relativity

  • M. Azreg-Aïnou
Chapter

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].

Keywords

Turkey Lution Electromagnetism Guaran Bonnet 
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References

  1. [Az08]
    Azreg-Aïnou, M.: Quadratic superconducting cosmic strings revisited. Europhys. Lett., 81, article 60003 (2008).CrossRefGoogle Scholar
  2. [AzCl96]
    Azreg-Aïnou, M., Clément, G.: Kaluza–Klein and Gauss–Bonnet cosmic strings. Class. Quantum Grav., 13, 2635–2650 (1996).CrossRefGoogle Scholar
  3. [LaTi85]
    Lancaster, P., Tismenetsky, M.: The Theory of Matrices with Applications, Academic Press, Orlando, FL (1985).MATHGoogle Scholar
  4. [Le84]
    Lee, H.C. (ed.): An Introduction to Kaluza-Klein Theories, World Scientific, Singapore (1984).Google Scholar
  5. [Lo71]
    Lovelock, D.: The Einstein tensor and its generalizations. J. Math. Phys., 12, 498–501 (1971).CrossRefMathSciNetGoogle Scholar
  6. [Wa84]
    Wald, R.M.: General Relativity, University of Chicago Press, Chicago (1984).MATHGoogle Scholar

Copyright information

© Birkhäuser Boston, a part of Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Başkent UniversityAnkaraTurkey

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