Analytic solution and Noether symmetries for the hyperbolic inflationary model in the Jordan frame
arXiv:2206.03302 · doi:10.3390/universe8060325
Abstract
The Noether symmetry analysis is applied for the study of a multifield cosmological model in a spatially flat FLRW background geometry. The gravitational Action Integral consists of two scalar fields, the Brans-Dicke field and a second scalar field minimally coupled to gravity. However, the two scalar fields interact in the kinetic terms. This multifield has been found to describe the equivalent of hyperbolic inflation in the Jordan frame. The application of Noether's theorems constrain the free parameters of the model that conservation laws exist. We find that the field equations form an integrable dynamical system and the analytic solution is derived.
14 pages, no figures, to appear in Universe
References in corpus (13)
- Improved Cosmological Constraints from New, Old and Combined Supernova Datasets
- Covariant Galileon
- Perturbations in generalized multi-field inflation
- Kinetic k-essence and Quintessence
- Two scalar field cosmology: Conservation laws and exact solutions
- Primordial perturbations from inflation with a hyperbolic field-space
- Dynamics of interacting phantom scalar field dark energy in Loop Quantum Cosmology
- Observational Constraints on New Exact Inflationary Scalar-field Solutions
- Hyperbolic Inflation in the Light of Planck 2015 data
- Anisotropic Hyperbolic Inflation
- Anisotropic hyperbolic inflation for a model of two scalar and two vector fields
- Intermediate Inflation in the Jordan-Brans-Dicke Theory
- Hyperbolic inflation in the Jordan frame