About Interaction of the Spinor and Scalar Fields, Removing Contribution of the Scalar Field in the Geometry of the Space-Time

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Abstract

In the static cylindrically symmetric metric and cosmological metric Bianchi I we consider the interacting scalar and spinor fields with the Lagrangian of the interaction Lint = V (φ)S2, where V (φ) is arbitrary function of scalar field φ, S = ψ¯ψ is an invariant of the spinor field ψ. We obtain exact solutions of the Einstein, spinor and scalar equations and one exhibited that function V (φ) is absent in the components of the energy-momentum tensor for the interacting fields. It means that the considered type of the interaction removes the contribution of the scalar field in the geometry of the space-time.

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M B Vilca Chaicha

Peoples Friendship University of Russia

Email: marfon17@mail.ru
Кафедра теоретической физики; Российский университет дружбы народов; Peoples Friendship University of Russia

L P Yuschenko

Peoples Friendship University of Russia

Кафедра общей физики; Российский университет дружбы народов; Peoples Friendship University of Russia

G N Shikin

Peoples Friendship University of Russia

Кафедра теоретической физики; Российский университет дружбы народов; Peoples Friendship University of Russia

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Copyright (c) 2012 Вилка Чайча М.Б., Ющенко Л.П., Шикин Г.Н.

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