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
References in corpus (15)
- Quantum Gravity at a Lifshitz Point
- Horava-Lifshitz Cosmology
- Solutions to Horava Gravity
- Thermodynamics of Black Holes in Horava-Lifshitz Gravity
- Using the Noether symmetry approach to probe the nature of dark energy
- Dynamics of Logamediate Inflation
- Lorentz Violating Inflation
- Unified Dark Matter in Scalar Field Cosmologies
- Observational Constraints on New Exact Inflationary Scalar-field Solutions
- Cosmic alignment of the aether
- General dissipative coefficient in warm intermediate inflation in loop quantum cosmology in light of Planck and BICEP2
- Einstein-aether theory with a Maxwell field: General formalism
- Present accelerated expansion of the universe from new Weyl-Integrable gravity approach
- Exact Kantowski-Sachs spacetimes in Einstein-Aether Scalar field theory
- Inhomogeneous spacetimes in Weyl integrable geometry with matter source