Abstract
The existence of a so-called "phantom" scalar field in some Riemannian spaceV 4, i.e., a field in which the effective energy momentum tensorT (sf) vanishes in the five-dimensional Kaluza-Klein theory, is investigated by means of the integrability conditions for relations of the form Φ;μ;ν=kΦ,μΦ,ν+bg μν found in [6]. Phantom fields are found in homogeneous isotropic cosmological models.
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T. Kaluza, in: Albert Einstein and Gravitation Theory [Russian translation], Mir, Moscow (1979), pp. 529–534.
Yu. S. Vladimirov, The Dimension of Physical Space—Time and the Unification of Interactions [in Russian], Izd-vo MGU, Moscow (1987).
Yu. S. Vladimirov and A. D. Popov, Itogi Nauk. Tekhn., Vol. 1 (1991).
Yu. S. Vladimirov, Frames in Gravitation Theory [in Russian], Energoizdat, Moscow (1982).
L. P. Eisenhardt, Riemannian Geometry [Russian translation], IL, Moscow (1948).
S. S. Kokarev, Mnogom. Grav. Kosmo., No. 3 (1995).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 50–56, February, 1996.
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Kokarev, S.S. Phantom scalar fields in five-dimensional Kaluza-Klein theory. Russ Phys J 39, 146–152 (1996). https://doi.org/10.1007/BF02067678
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DOI: https://doi.org/10.1007/BF02067678