Source: http://rgs.vniims.ru/abs/abs-20-21.html
Timestamp: 2019-04-19 02:41:40+00:00

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Calculations are presented for creation of massive and massless scalar particles coupled to Gauss-Bonnet type curvature in Friedmann cosmologicalmodels. It has been shown that, for fields of mass m, the effect of the coupling parameter ζ with the Gauss-Bonnet invariant is insignificant if ζm2 << 1. In all cases under consideration, the created particle number is compatible by order of magnitude with the number of causally disconnected space-time regions by the Compton time, corresponding to 1/m or √ζ.
A. A. Grib, S.G. Mamayev, and V.M. Mostepanenko, Vacuum Quantum Effects in Strong Fields (Energoatomizdat, Moscow, 1988, in Russian; English translation: Friedmann Lab. Publ., St. Petersburg, 1994).
N.D. Birrell and P. C. W. Davies, Quantum Fields in Curved Space (Cambridge Univ. Press, Cambridge, 1982).
A. A. Grib and S. G. Mamayev, Yadernaya Fizika 10, 1276 (1969); Sov. J. Nucl. Phys. (USA) 10, 722 (1970).
A. A. Grib and Yu. V. Pavlov, Int. J. Mod. Phys. D 11, 433 (2002).
A. A. Grib and Yu. V. Pavlov, Int. J. Mod. Phys. A 17, 4435 (2002).
A. A. Grib and Yu. V. Pavlov, Mod. Phys. Lett. A 23, 1151 (2008).
V. B. Bezerra, V. M. Mostepanenko, and C. Romero, Mod. Phys. Lett. A 12, 145 (1997).
M. Bordag, J. Lindig, V. M. Mostepanenko, and Yu. V. Pavlov, Int. J. Mod. Phys. D 6, 449 (1997).
S. A. Fulling, Gen. Relat. Grav. 10, 807 (1979).
Yu. V. Pavlov, Teor. Mat. Fiz. 126, 115 (2001); Theor. Math. Phys. 126, 92 (2001).
Yu. V. Pavlov, Int. J. Mod. Phys. A 17, 1041 (2002).
A. A. Grib and Yu. V. Pavlov, Grav. Cosmol. 14, 1 (2008).
Yu. V. Pavlov, Teor. Mat. Fiz. 174, 504 (2013); Theor. Math. Phys. 174, 438 (2013).
Yu. V. Pavlov, Teor. Mat. Fiz. 140, 241 (2004); Theor. Math. Phys. 140, 1095 (2004).
V. Kuzmin and I. Tkachev, Phys. Rev. D 59, 123006 (1999).
S. G. Mamaev, V. M. Mostepanenko, and A. A. Starobinskii, ZhETF 70, 1577 (1976); Sov. Phys.-JETP 43, 823 (1976).

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