New Conservation Laws and Exact Cosmological Solutions in Brans–Dicke Cosmology with an Extra Scalar Field
نویسندگان
چکیده
The derivation of conservation laws and invariant functions is an essential procedure for the investigation nonlinear dynamical systems. In this study we consider a two-field cosmological model with scalar fields defined in Jordan frame. particular Brans-Dicke field theory second quintessence minimally coupled to gravity. For apply first time new technique without application variational symmetries. results are applied exact solutions. stability properties scaling solutions investigated criteria nature according these determined.
منابع مشابه
Exact Controllability of Scalar Conservation Laws with an Additional Control in the Context of Entropy Solutions
HAL is a multidisciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L'archive ouverte pluridisciplinaire HAL, est destinée au dépôt età la diffusion de documents scientifiques de niveau r...
متن کاملNew exact cosmological solutions to Brans-Dicke gravity with a self-interacting scalar-field
We derive a new parametric class of exact cosmological solutions to Brans-Dicke theory of gravity with a self-interacting scalar field and a barotropic perfect fluid of ordinary matter, by assuming a linear relationship between the Hubble expansion parameter and the time derivative of the scalar field. As a consequence only a class of exponential potentials and their combinations can be treated...
متن کاملNew approach to find exact solutions for cosmological models with a scalar field.
We consider the existence of a Noether symmetry in the scalar-tensor theory of gravity in flat Friedman Robertson Walker (FRW) cosmology. The forms of coupling function ω(φ) and generic potential V (φ) are obtained by requiring the existence of a Noether symmetry for such theory. We derive exact cosmological solutions of the field equations from a point-like Lagrangian.
متن کاملExact plane symmetric cosmological solutions for a massless scalar field and cosmological constant
The Klein-Gordon equations were recently solved in general relativity for the case of a plane-symmetric static massless scalar field with cosmological constant. By analytic continuation, time-dependent solutions can be obtained that correspond to cosmologies. These spacetimes are studied here, and include among them a solution exhibiting both early inflation and later continued rapid expansion ...
متن کاملAttractor solutions in scalar-field cosmology
Models of cosmological scalar fields often feature “attractor solutions” to which the system evolves for a wide range of initial conditions. There is some tension between this well-known fact and another well-known fact: Liouville’s theorem forbids true attractor behavior in a Hamiltonian system. In universes with vanishing spatial curvature, the field variables φ and φ̇ specify the system compl...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Symmetry
سال: 2021
ISSN: ['0865-4824', '2226-1877']
DOI: https://doi.org/10.3390/sym13081364