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.
arXiv comment17 pages, 4 figures, to appear in Mod. Phys. Lett. A
References in corpus (46)
- Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
- Measurements of Omega and Lambda from 42 High-Redshift Supernovae
- Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
- f(R) Theories Of Gravity
- Cosmology and the Fate of Dilatation Symmetry
- Generalized Chaplygin Gas, Accelerated Expansion and Dark Energy-Matter Unification
- The 3D power spectrum of galaxies from the SDSS
- Exponential potentials and cosmological scaling solutions
- Cosmology with Ultra-light Pseudo-Nambu-Goldstone Bosons
- Brane-world gravity
- A New Cosmological Model of Quintessence and Dark Matter
- On Born-Infeld Gravity in Weitzenbock spacetime
- Metric perturbations in two-field inflation
- Generalized Assisted Inflation
- Solving the Coincidence Problem: Tracking Oscillating Energy
- Cosmological perturbations from multi-field inflation in generalized Einstein theories
- The oscillating dark energy: future singularity and coincidence problem
- Using the Noether symmetry approach to probe the nature of dark energy
- Generalized hybrid metric-Palatini gravity
- An analytic model for interacting dark energy and its observational constraints
- A covariant approach to general field space metric in multi-field inflation
- Unified Dark Matter in Scalar Field Cosmologies
- Noether symmetry approach in phantom quintessence cosmology
- Two scalar field cosmology: Conservation laws and exact solutions
- A periodic varying deceleration parameter in gravity
- Cosmological Scaling Solutions and Multiple Exponential Potentials
- Noether symmetric quantum cosmology and its classical correlations
- -gravity from Killing Tensors
- Noether symmetry in the higher order gravity theory
- Dynamical Analysis of an Integrable Cubic Galileon Cosmological Model
- Noether symmetries and stability of ideal gas solution in Galileon Cosmology
- Dynamics of assisted quintessence
- Exact Superstring Motivated Cosmological Models
- Exact Solutions in Chiral 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
- Group invariant transformations for the Klein-Gordon equation in three dimensional flat spaces
- Noether gauge symmetry approach in quintom cosmology
- Analysis of the non-minimally coupled scalar field in the Palatini formalism by the Noether symmetry approach
- Conservation laws and Exact Solutions in Brans-Dicke Cosmology with a Scalar Field
- Inflation as an attractor in scalar cosmology
- Illustrating Dynamical Symmetries in Classical Mechanics: The Laplace-Runge-Lenz Vector Revisited
- A fifth order differential equation for charged perfect fluids
- Quadratic conservation laws and collineations: a discussion
- The generic model of General Relativity