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Noether symmetries in Bianchi universes

Salvatore Capozziello, Giuseppe Marmo, Claudio Rubano, Paolo Scudellaro

gr-qcarXiv:gr-qc/9606050

Abstract

We use our Nöther 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.

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