Abstract:
Gravitational pseudoparticles are considered in the framework of the gauge treatment of gravitation. The investigation is based on de Rham's duality theorem, which establishes the periods of the curvature form as the associated topological charges. It is assumed that the gravitational fields satisfy a gauge condition that distinguishes fields of Abelian type. Necessary and sufficient conditions for the existence of gravitational pseudoparticles are stated and examined. In the framework of the specified gauge, the analogy with Yang–Mills fields corresponding to an Abelian group is studied.
Citation:
V. M. Nikolaenko, “Duality of gravitation in the quantization problem”, TMF, 34:3 (1978), 334–340; Theoret. and Math. Phys., 34:3 (1978), 213–217
\Bibitem{Nik78}
\by V.~M.~Nikolaenko
\paper Duality of gravitation in the quantization problem
\jour TMF
\yr 1978
\vol 34
\issue 3
\pages 334--340
\mathnet{http://mi.mathnet.ru/tmf2744}
\transl
\jour Theoret. and Math. Phys.
\yr 1978
\vol 34
\issue 3
\pages 213--217
\crossref{https://doi.org/10.1007/BF01028838}
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https://www.mathnet.ru/eng/tmf2744
https://www.mathnet.ru/eng/tmf/v34/i3/p334
This publication is cited in the following 5 articles:
U. Bleyer, V. M. Nikolaenko, “Abelian model of gravitating magnetic monopole”, Gen Relat Gravit, 17:12 (1985), 1177
U. Bleyer, V.M. Nikolaenko, “A magnetic monopole with gravitational topological charge”, Physics Letters B, 146:3-4 (1984), 217
V. M. Nikolaenko, G. N. Shikin, K. P. Staniukowicz, “Conformal invariance and the Higgs boson mass in the Weinberg-Salam theory with gravitational mechanism of instability”, Gen Relat Gravit, 14:4 (1982), 379
V. M. Nikolaenko, K. P. Stanyukovich, G. N. Shikin, “Conformal invariance of scalar bosons in Weinberg–Salam type theories”, Theoret. and Math. Phys., 46:3 (1981), 256–262
V. M. Nikolaenko, “Higgs mesons in gauge gravitation”, Theoret. and Math. Phys., 42:2 (1980), 128–133
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