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Zbl 0936.83048
Capozziello, S.; Marmo, G.; Rubano, C.; Scudellaro, P.
Noether symmetries in Bianchi universes.
(English)
[J] Int. J. Mod. Phys. D 6, No.4, 491-503 (1997). ISSN 0218-2718

Summary: We use our Noether Symmetry Approach to study the Einstein equations minimally coupled with a scalar field, in the case of Bianchi universes of class A and B. Possible cases, when such symmetries exist, are found and two examples of exact integration of the equations of motion are given in the cases of Bianchi AI and BV.
MSC 2000:
*83F05 Relativistic cosmology
53C80 Appl. of global differential geometry to physics
83C20 Classes of solutions of equations in general relativity

Keywords: possible initial anisotropies; inflationary eras; Bianchi universes

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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