Noether symmetries in Bianchi universes
Salvatore Capozziello, Giuseppe Marmo, Claudio Rubano, Paolo, Scudellaro
TL;DR
This paper investigates Noether symmetries in Bianchi universes with scalar fields, identifying cases with symmetries and providing exact solutions for specific Bianchi types.
Contribution
It introduces a N"other symmetry approach to Einstein-scalar field equations in Bianchi universes and finds exact solutions in certain cases.
Findings
Identified conditions for Noether symmetries in Bianchi universes
Derived exact solutions for Bianchi AI and BV models
Enhanced understanding of symmetries in cosmological models
Abstract
We use our N\"other 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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