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Matter field quantum fluctuations in a bianchi II metric

Annals of Physics, 1985
It is pointed out that a three-dimensional metric space of type II according to the Bianchi classification can be obtained by a Kaluza-Klein construction from a flat two-dimensional space with a homogeneous magnetic field. Quantum fluctuations of matter fields in this background metric turn out to be closely related to those of charged fields in a ...
N K Nielsen
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Viscous Bianchi universes with a magnetic field. I. Effect of magnetoviscosity on the metric

General Relativity and Gravitation, 1989
It is shown that viscosity induced by a magnetic field excludes certain Bianchi models. In fact, it is proved that a homogeneous, nonrotating universe of Bianchi class A, containing a viscous fluid and a large-scale magnetic field, can be only of Bianchi type I or VI0.
W. A. van Leeuwen   +2 more
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Irreducible decompositions of nonmetricity, torsion, curvature and Bianchi identities in metric-affine spacetimes

Classical and Quantum Gravity, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly   +3 more sources

Dirac equation in bianchi I metrics

Physics Letters A, 1987
Abstract We present the Dirac equation generalization to spatially flat anisotropic Bianchi I metrics and we study their classical solutions. We find only two independent spinors, and we show that it is not possible to obtain the solutions from those of the Robertson-Walker case by perturbing the metric.
L.P. Chimento, M.S. Mollerach
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Model of Evolution of the Universe with the Bianchi Type VIII Metric

Russian Physics Journal, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Panov, V. F.   +3 more
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All vacuum Bianchi I metrics with a homothety

Classical and Quantum Gravity, 1991
All vacuum metrics with a four-parameter homothety group containing a three-dimensional Abelian subgroup are found. These include the Kasner family of metrics, metrics related to the Kasner family by complex transformations (which include a family of vacuum metrics found by Lewis in 1932 and a metric found by Petrov in 1962 to be the only vacuum metric
C B G McIntosh, J D Steele
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Bianchi-symmetric metrics

Physical Review D, 1983
New, simple, Bianchi I, II, and IX metrics are presented. They were obtained by means of computer-based algebraic manipulators. The scheme is described.
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HIDDEN SYMMMETRIES OF SOME BIANCHI A METRICS

International Journal of Modern Physics A, 2005
We show that most of the Bianchi A metrics with self-dual connection (hence self-dual Riemann curvature) have an integrable geodesic flow.
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Spontaneous Disturbance of Symmetry in Bianchi Types III and VIII Metrics

Russian Physics Journal, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kuvshinova, E. V., Yanishevsky, D. M.
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The classification of self-dual Bianchi metrics

Classical and Quantum Gravity, 1996
The purpose of this paper is to find the explicit forms of self-dual metrics that are invariant with respect to free actions of three-dimensional Lie groups. This purpose is motivated by a recent attention paid to reduced self-duality equations in connection with the relationship integrability and the Painlevé property.
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