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...
| Main Authors: | , |
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| 格式: | Article |
| 語言: | English |
| 出版: |
SpringerOpen
2021-03-01
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| 叢編: | European Physical Journal C: Particles and Fields |
| 在線閱讀: | https://doi.org/10.1140/epjc/s10052-021-09031-w |
| 總結: | 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. |
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| ISSN: | 1434-6044 1434-6052 |