New exact and analytic solutions in Weyl Integrable cosmology from Noether symmetry analysis
arXiv:2208.02599 · doi:10.1088/1402-4896/ac8702
Abstract
We consider a cosmological model in a Friedmann--Lema\^ıtre--Robertson--Walker background space with an ideal gas defined in Weyl Integrable gravity. In the Einstein-Weyl theory a scalar field is introduced in a geometric way. Furthermore, the scalar field and the ideal gas interact in the gravitational Action Integral. Furthermore, we introduce a potential term for the scalar field potential and we show that the field equations admit a minisuperspace description. Noether's theorem is applied for the constraint of the potential function and the corresponding conservation laws are constructed. Finally, we solve the Hamilton-Jacobi equation for the cosmological model and we derive a family of new solutions in Weyl Integrable cosmology. Some closed-form expressions for the Hubble function are presented.
arXiv comment16 pages, 1 Fig. to appear in Physica Scripta
References in corpus (27)
- Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
- Measurements of Omega and Lambda from 42 High-Redshift Supernovae
- Planck 2015 results. XIII. Cosmological parameters
- Dynamics of dark energy
- Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
- In the Realm of the Hubble tension a Review of Solutions
- Modified teleparallel gravity: inflation without inflaton
- Evolution of the Scale Factor with a Variable Cosmological Term
- First evidence that non-metricity f(Q) gravity could challenge CDM
- Hubble expansion & Structure Formation in Time Varying Vacuum Models
- Interacting dark energy with time varying equation of state and the tension
- Using the Noether symmetry approach to probe the nature of dark energy
- Dark energy and dust matter phases from an exact -cosmology model
- Perturbations in a coupled scalar field cosmology
- General Relativity and Weyl Geometry
- A model with interaction of dark components and recent observational data
- Cosmological constraints on an exponential interaction in the dark sector
- FLRW metric cosmology with a perfect fluid by generating integrals of motion
- Generalized Euclidean stars with equation of state
- A study of phantom scalar field cosmology using Lie and Noether symmetries
- Integrable Weyl Geometry in Multidimensional Cosmology. Numerical Investigation
- Acceleration in Weyl integrable spacetime
- Infinite dimensional symmetry groups of the Friedmann equations
- Exact Scalar-Tensor Cosmological Solutions via Noether Symmetry
- A new symmetry of the spatially flat Einstein-Friedmann equations
- Integrability and Cosmological Solutions in Einstein-aether-Weyl theory
- Interacting dark sector: Lagrangian formulation based on two canonical scalar fields