Integrability and Cosmological Solutions in Einstein-aether-Weyl theory
arXiv:2101.01606 · doi:10.1140/epjc/s10052-021-09031-w
Abstract
We consider a Lorentz violating scalar field cosmological model given by the modified Einstein-aether theory defined in Weyl integrable geometry. The existence of exact and analytic solutions is investigated for the case of a spatially flat Friedmann--Lema\^ıtre--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.
13 pages, 4 figures
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