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...

وصف كامل

التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: Andronikos Paliathanasis, Genly Leon
التنسيق: مقال
اللغة:English
منشور في: SpringerOpen 2021-03-01
سلاسل:European Physical Journal C: Particles and Fields
الوصول للمادة أونلاين:https://doi.org/10.1140/epjc/s10052-021-09031-w
الوصف
الملخص: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.
تدمد:1434-6044
1434-6052