Bianchi classification


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Bianchi classification

[bē′aŋ·kē ‚klas·ə·fə‚kā·shən]
(relativity)
A classification of possible types of spatially homogeneous space-times.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
7 the operadic Lax representations are used to construct the dynamical deformations of real 3-dimensional Lie algebras [VII.sub.a], [III.sub.a=1], [VI.sub.a[not equal to]1 from the Bianchi classification. The quantum counterparts of these Lie algebras are constructed in Sec.
We study only the algebras [VII.sub.a], [III.sub.a=1], [VI.sub.a[not equal to]1] from the Bianchi classification of the real 3-dimensional Lie algebras [2].
By using the structure constants of the 3-dimensional Lie algebras in the Bianchi classification, Theorem 4.4 and relations (5.1), one can propose that evolution of [VII.sub.a], [III.sub.a=1], [VI.sub.a[not equal to]1 can be prescribed [8] as given in
Fialowski for help concerning the Bianchi classification.
He discusses special and general relativity and the cosmological versions of both, properties of the gravitational field, particle production in five-dimensional cosmological relativity, properties of gravitational waves in an expanding universe, spiral galaxy rotation curves in the Brane world theory in five dimensions, testing cosmological general relativity against high redshift observations, homogeneous spaces and Bianchi classifications, and similar topics.