Integrability and cosmological solutions in Einstein-æther-Weyl theory

Andronikos Paliathanasis (Institute of Systems Science, Durban University of Technology, Durban, 4000, South Africa) ; Genly Leon (Departamento de Matemáticas, Universidad Católica del Norte, Avda. Angamos 0610, Casilla 1280, Antofagasta, Chile)

We consider a Lorentz violating scalar field cosmological model given by the modified Einstein-æther theory defined in Weyl integrable geometry. The existence of exact and analytic solutions is investigated for the case of a spatially flat Friedmann–Lemaître–Robertson–Walker background space. We show that the theory admits cosmological solutions of special interests. In addition, we prove that the cosmological field equations admit the Lewis invariant as a second conservation law, which indicates the integrability of the field equations.

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Published on:
23 March 2021
Publisher:
Springer
Published in:
European Physical Journal C , Volume 81 (2021)
Issue 3
Pages 1-10
DOI:
https://doi.org/10.1140/epjc/s10052-021-09031-w
arXiv:
2101.01606
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

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