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Integrability and Cosmological Solutions in Einstein-aether-Weyl theory

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arxiv 2101.01606 v1 pith:CVC2WF3S submitted 2021-01-05 gr-qc hep-thmath-phmath.MP

Andronikos Paliathanasis (DUT , Durban) , Genly Leon (Catolica del Norte U.) This is my paper
classification gr-qchep-thmath-phmath.MP
keywords cosmologicalfieldsolutionstheoryequationsintegrabilityadditionadmit
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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\^{\i}tre--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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  1. Geometric formulation of $k$-essence and late-time acceleration

    gr-qc 2025-05 conditional novelty 6.0 of 10

    Integrable vectorial nonmetricity gravity is shown to be equivalent to purely kinetic quadratic k-essence, which fits late-time data as well as ΛCDM.

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