https://doi.org/10.1140/epjc/s10052-021-09031-w
Regular Article – Theoretical Physics
Integrability and cosmological solutions in Einstein-æther-Weyl theory
1
Institute of Systems Science, Durban University of Technology, 4000, Durban, South Africa
2
Departamento de Matemáticas, Universidad Católica del Norte, Avda. Angamos 0610, Casilla 1280, Antofagasta, Chile
Received:
5
January
2021
Accepted:
6
March
2021
Published online:
23
March
2021
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.
© The Author(s) 2021
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