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 TMF, 1977, Volume 33, Number 1, Pages 3–16 (Mi tmf3200)

On the definition of the vacuum in the Gravitational field; the $\Re$ vacuum

I. V. Volovich, V. A. Zagrebnov, V. P. Frolov

Abstract: A new approach to definition of a vacuum in the external gravitational field is suggested, which exploits the affine properties of isotropic hypersurfaces (the $\Re$-vacuum). This approach makes it possible to extend the well-known definitions of the vacuum to the case of spaces without symmetries. Relation between this definition and algebraic properties of gravitational field is demonstrated. A possibility of using the notion of the $\Re$-vacuum in studying the problems of localization of the processes of particles creation at quantum evaporization of black holes is pointed out.

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English version:
Theoretical and Mathematical Physics, 1977, 33:1, 843–852

Bibliographic databases:

Citation: I. V. Volovich, V. A. Zagrebnov, V. P. Frolov, “On the definition of the vacuum in the Gravitational field; the $\Re$ vacuum”, TMF, 33:1 (1977), 3–16; Theoret. and Math. Phys., 33:1 (1977), 843–852

Citation in format AMSBIB
\Bibitem{VolZagFro77} \by I.~V.~Volovich, V.~A.~Zagrebnov, V.~P.~Frolov \paper On the definition of the vacuum in the Gravitational field; the $\Re$ vacuum \jour TMF \yr 1977 \vol 33 \issue 1 \pages 3--16 \mathnet{http://mi.mathnet.ru/tmf3200} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=462478} \zmath{https://zbmath.org/?q=an:0368.53044} \transl \jour Theoret. and Math. Phys. \yr 1977 \vol 33 \issue 1 \pages 843--852 \crossref{https://doi.org/10.1007/BF01039007} 

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. V. I. Savrin, “Should allowance be made for the contribution of many-photon exchange to deep inelastic scattering of electrons on protons?”, Theoret. and Math. Phys., 39:1 (1979), 313–323
2. O. Yu. Karmanov, M. B. Menskii, “Propagators and pair production in a homogeneous isotropic universe”, Theoret. and Math. Phys., 41:2 (1979), 1003–1009
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