Results 241 to 250 of about 1,975 (257)

Evolution of a Cosmological Model with Rotation with a Bianchi Type-Ix Metric

Russian Physics Journal, 2020
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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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Cosmological models with Bianchi type V metric

Izvestiya vysshikh uchebnykh zavedenii. Fizika, 2022
E. V. Kuvshinova, O. V. Sandakova, D. M. Yanishevsky   +2 more
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The automorphism groups for Bianchi universe models and computer-aided invariant classification of metrics

Classical and Quantum Gravity, 1988
An implementation of the time-dependent automorphism formalism for Bianchi cosmologies, in the computer algebra system SHEEP, is described. Its application to the particular case of Bianchi cosmologies admitting vacuum plane-wave solutions is given in relation to the equivalence problem.
Araujo, M. E., Skea, J. E. F.
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Irreducible decompositions of nonmetricity, torsion, curvature and Bianchi identities in metric-affine spacetimes

Classical and Quantum Gravity, 1992
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Chern–Simons terms in metric-affine space-time: Bianchi identities as Euler–Lagrange equations

Journal of Mathematical Physics, 1991
The metric-affine gauge theory of gravity encompasses a space-time with the following geometrical fields: coframe ϑα, metric g, and an independent linear connection Γαβ. Within this geometrical framework, all four-forms B=dC are constructed which qualify as boundary terms for a gauge Lagrangian, that is, they are GL(4,R)-scalars as well as exact forms ...
Hehl, Friedrich W., Kopczyński, Wojciech, McCrea, J. Dermott, Mielke, Eckehard W.   +3 more
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Integrable and near-integrable dynamical systems associated with Bianchi IX metrics

Theoretical and Mathematical Physics, 1994
The author discusses the integrability of a dynamical system occuring in SU(2)-invariant Riemannian four-metrics. Such metrics are also known as Bianchi type IX metrics. Here the system of equations reduces to a system with one variable.
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Axially symmetric Bianchi-I vacuum solutions with background metric. II

2004
Summary: For an axially symmetric higher five-dimensional Bianchi-I space-time \(ds^2= dt^2- e^{2\alpha}\,dx^2- e^{e\beta} (dy^2+ dz^2+ du^2)\) the solutions of the field equations in bimetric relativity \(N_i^j=0\) and \(N_i^j=\lambda g_i^j\) are \(\alpha(t)= mt= \beta(t)\) and \(\alpha(t)= \frac {\lambda}{2} t^2+nt= \beta(t)\), respectively. For Part
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Curvature and integrability for Bianchi-type IX metrics

2003
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Locally rotationally symmetric Bianchi type I cosmology in f(R, T) gravity

European Physical Journal C, 2015
M Farasat Shamir, Shamir M Farasat
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