Integrability and cosmological solutions in Einstein-æther-Weyl theory

Integrability and cosmological solutions in Einstein-æther-Weyl theory

Abstract 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 spac...

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Main Authors: Andronikos Paliathanasis, Genly Leon
Format: Article
Language:English
Published: SpringerOpen 2021-03-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-021-09031-w
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spelling doaj-c144c20bd98f4bccbf726c3ee7e4f1df2021-03-28T11:40:49ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522021-03-0181311010.1140/epjc/s10052-021-09031-wIntegrability and cosmological solutions in Einstein-æther-Weyl theoryAndronikos Paliathanasis0Genly Leon1Institute of Systems Science, Durban University of TechnologyDepartamento de Matemáticas, Universidad Católica del NorteAbstract 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.https://doi.org/10.1140/epjc/s10052-021-09031-w
collection DOAJ
language English
format Article
sources DOAJ
author Andronikos Paliathanasis
Genly Leon
spellingShingle Andronikos Paliathanasis
Genly Leon
Integrability and cosmological solutions in Einstein-æther-Weyl theory
European Physical Journal C: Particles and Fields
author_facet Andronikos Paliathanasis
Genly Leon
author_sort Andronikos Paliathanasis
title Integrability and cosmological solutions in Einstein-æther-Weyl theory
title_short Integrability and cosmological solutions in Einstein-æther-Weyl theory
title_full Integrability and cosmological solutions in Einstein-æther-Weyl theory
title_fullStr Integrability and cosmological solutions in Einstein-æther-Weyl theory
title_full_unstemmed Integrability and cosmological solutions in Einstein-æther-Weyl theory
title_sort integrability and cosmological solutions in einstein-æther-weyl theory
publisher SpringerOpen
series European Physical Journal C: Particles and Fields
issn 1434-6044
1434-6052
publishDate 2021-03-01
description Abstract 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.
url https://doi.org/10.1140/epjc/s10052-021-09031-w
work_keys_str_mv AT andronikospaliathanasis integrabilityandcosmologicalsolutionsineinsteinætherweyltheory
AT genlyleon integrabilityandcosmologicalsolutionsineinsteinætherweyltheory
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