Summary
Supposing that the components of then-dimensional metric of the Kaluza-Klein field equations depend on two variables ρ and ζ, we develop a method for integrating them, assuming that one part of the field equations can be considered as a function of one variable λ=λ(ρ, ζ), which satisfies the Laplace equation.
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References
For one review of this theory see, for instance,M. J. Duff andB. E. W. Nilsson:Phys. Rep.,130, 1 (1986).
M. B. Green, J. H. Schwarz andE. Written:Superstrings Theory (Cambridge University Press, Cambridge, 1987).
T. H. Kaluza:Sitzungsber. Preuss. Akad. Wiss. Math. Kl.,1, 966 (1921).
O. Z. Klein:Physik,37, 895 (1926)
D. Kramer et al.:Exact Solutions of Einstein’s Field Equations (Cambridge University Press, Cambridge, 1980).
A. I. Maltsev:Fundamentos de algebra lineal (Mir, Moscow, 1972).
T. Matos:Revista Mexicana de Fisica,35, 208 (1989).
T. Matos:Ann. Phys. (Leipzig),7, 462 (1989).
See, for instance,G. Neugebauer, D. Kramer andT. Matos:J. Math. Phys.,32, 2727 (1991).
SeeH. J. de Vega andN. Sanchez:Nucl. Phys. B,309, 552 (1988), and references therein.
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Matos, T., Rodr∥uez, G. Exact solutions ofN-dimensional stationary Kaluza-Klein field equations. Nuov Cim B 107, 519–526 (1992). https://doi.org/10.1007/BF02723629
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DOI: https://doi.org/10.1007/BF02723629