### Abstract

Within the framework of the method of orbits, expressions have been obtained for the vacuum averages of the energy-momentum tensor of a scalar field with an arbitrary coupling constant in a spacetime with a nonstationary metric of Robertson–Walker type, where space is a homogeneous Riemannian manifold. It is shown that the vacuum averages of the energy-momentum tensor are determined by the complete set of solutions of the reduced equation with a smaller number of independent variables and with algebraic characteristics of homogeneous space.

Original language | English |
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Pages (from-to) | 1-10 |

Number of pages | 10 |

Journal | Russian Physics Journal |

DOIs | |

Publication status | Accepted/In press - 12 Jan 2016 |

### Fingerprint

### Keywords

- method of noncommutative integration
- polarization of the vacuum
- Robertson–Walker metric

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Russian Physics Journal*, 1-10. https://doi.org/10.1007/s11182-016-0639-5

**Vacuum Averages of the Energy-Momentum Tensor of a Scalar Field in Homogeneous Spaces with a Conformal Metric.** / Breev, A. I.; Kozlov, A. V.

Research output: Contribution to journal › Article

*Russian Physics Journal*, pp. 1-10. https://doi.org/10.1007/s11182-016-0639-5

}

TY - JOUR

T1 - Vacuum Averages of the Energy-Momentum Tensor of a Scalar Field in Homogeneous Spaces with a Conformal Metric

AU - Breev, A. I.

AU - Kozlov, A. V.

PY - 2016/1/12

Y1 - 2016/1/12

N2 - Within the framework of the method of orbits, expressions have been obtained for the vacuum averages of the energy-momentum tensor of a scalar field with an arbitrary coupling constant in a spacetime with a nonstationary metric of Robertson–Walker type, where space is a homogeneous Riemannian manifold. It is shown that the vacuum averages of the energy-momentum tensor are determined by the complete set of solutions of the reduced equation with a smaller number of independent variables and with algebraic characteristics of homogeneous space.

AB - Within the framework of the method of orbits, expressions have been obtained for the vacuum averages of the energy-momentum tensor of a scalar field with an arbitrary coupling constant in a spacetime with a nonstationary metric of Robertson–Walker type, where space is a homogeneous Riemannian manifold. It is shown that the vacuum averages of the energy-momentum tensor are determined by the complete set of solutions of the reduced equation with a smaller number of independent variables and with algebraic characteristics of homogeneous space.

KW - method of noncommutative integration

KW - polarization of the vacuum

KW - Robertson–Walker metric

UR - http://www.scopus.com/inward/record.url?scp=84954113530&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84954113530&partnerID=8YFLogxK

U2 - 10.1007/s11182-016-0639-5

DO - 10.1007/s11182-016-0639-5

M3 - Article

SP - 1

EP - 10

JO - Russian Physics Journal

JF - Russian Physics Journal

SN - 1064-8887

ER -