Quadratic integrals of a multi-scalar cosmological model
arXiv:2001.02423 · doi:10.1142/S0217732320500686
Abstract
In the context of FRW spacetime with zero spatial curvature, we consider a multi-scalar tensor cosmology model under the pretext of obtaining quadratic conservation laws. We propose two new interaction potentials of the scalar field. Integral to this task, is the existence of dynamical Noether symmetries which are Lie-Bäcklund transformations of the physical system. Finally, analytical solutions of the field are found corresponding to each new model. In one of the models, we find that the scale factor mimics -cosmology in a special case.
17 pages, 4 figures, to appear in Mod. Phys. Lett. A
References in corpus (11)
- Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
- Cosmology and the Fate of Dilatation Symmetry
- On Born-Infeld Gravity in Weitzenbock spacetime
- The oscillating dark energy: future singularity and coincidence problem
- Using the Noether symmetry approach to probe the nature of dark energy
- Unified Dark Matter in Scalar Field Cosmologies
- Two scalar field cosmology: Conservation laws and exact solutions
- Noether symmetries and stability of ideal gas solution in Galileon Cosmology
- Dynamical symmetries and observational constraints in scalar field cosmology
- Dynamical symmetries in Brans-Dicke cosmology
- New integrable models and analytical solutions in ~cosmology with an ideal gas