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TMF, 2013, Volume 174, Number 3, Pages 504–512 (Mi tmf8393)  

This article is cited in 3 scientific papers (total in 3 papers)

Exact solutions and particle creation for nonconformal scalar fields in homogeneous isotropic cosmological models

Yu. V. Pavlovab

a Institute for Problems in Mechanical Engineering, RAS, St. Petersburg, Russia
b A. A. Friedmann Laboratory for Theoretical Physics, St. Petersburg, Russia

Abstract: We solve the problem of describing scaling factors of a homogeneous isotropic space–time such that the exact solution for the scalar field with a nonconformal coupling to curvature can be obtained from solutions for the conformally coupled field by redefining the mass and momentum. We give explicit expressions in the form of Abelian integrals for the dependence of time on the scaling factor in these cases. We obtain an exact solution for the scalar field coupled to the Gauss–Bonnet-type curvature and show that the corresponding nonconformal contributions can dominate in particle creation by the gravitational field.

Keywords: quantum theory in curved space–time, particle creation by gravitational field, scalar field, exact solution

DOI: https://doi.org/10.4213/tmf8393

Full text: PDF file (423 kB)
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English version:
Theoretical and Mathematical Physics, 2013, 174:3, 438–445

Bibliographic databases:

PACS: 04.62.+v
MSC: 81T20
Received: 21.06.2012
Revised: 03.10.2012

Citation: Yu. V. Pavlov, “Exact solutions and particle creation for nonconformal scalar fields in homogeneous isotropic cosmological models”, TMF, 174:3 (2013), 504–512; Theoret. and Math. Phys., 174:3 (2013), 438–445

Citation in format AMSBIB
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Jesus J.F., Pereira S.H., “Ccdm Model From Quantum Particle Creation: Constraints on Dark Matter Mass”, J. Cosmol. Astropart. Phys., 2014, no. 7, 040  crossref  isi
    2. Pavlov Yu.V., “On Creation of Scalar Particles With Gauss-Bonnet Type Coupling To Curvature in Friedmann Cosmological Models”, Gravit. Cosmol., 20:1 (2014), 21–25  crossref  mathscinet  zmath  adsnasa  isi
    3. Grib A.A., Pavlov Yu.V., “Particle creation in the early Universe: Achievements and problems”, Gravit. Cosmol., 22:2 (2016), 107–115  crossref  mathscinet  zmath  isi  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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