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Effective gravitational equations induced by quantum effects of a scalar field in the Bianchi type IX spaces

  • Elementary Particle Physics and Field Theory
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Russian Physics Journal Aims and scope

The effective gravitational equations induced by quantum effects of a scalar field in the Bianchi type IX space-time are derived in the present work. The curvature tensor components and their combinations are calculated in the Bianchi type IX spaces. To estimate a one-loop effective action, the asymptotic Schwinger-DeWitt perturbative formula with consideration of terms up to the second order is used. Quantum corrections involve the fourth-order derivative of the metric; as a consequence, the background gravitational action also includes terms up to the fourth-order derivatives of the metric.

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Authors and Affiliations

  1. Tomsk State Pedagogical University, Tomsk, Russia

    E. N. Kirillova

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  1. E. N. Kirillova
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Correspondence to E. N. Kirillova.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 19–24, August, 2008.

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Kirillova, E.N. Effective gravitational equations induced by quantum effects of a scalar field in the Bianchi type IX spaces. Russ Phys J 51, 792–798 (2008). https://doi.org/10.1007/s11182-009-9119-5

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  • DOI: https://doi.org/10.1007/s11182-009-9119-5

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