Scalar-tensor cosmology with R^{-1} curvature correction by Noether Symmetry

Abstract

We discuss scalar-tensor cosmology with an extra $R^{-1}$ correction by the Noether Symmetry Approach. The existence of such a symmetry selects the forms of the coupling $\omega (\varphi )$, of the potential $V(\varphi )$ and allows to obtain physically interesting exact cosmological solutions.

7 pages

References in corpus (31)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Dynamics of dark energy
• 4D Gravity on a Brane in 5D Minkowski Space
• Is Cosmic Speed-Up Due to New Gravitational Physics?
• Phantom Energy and Cosmic Doomsday
• Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
• Measurements of the Cosmological Parameters Omega and Lambda from the First 7 Supernovae at z >= 0.35
• Cosmological Tracking Solutions
• Curvature Quintessence
• Unifying phantom inflation with late-time acceleration: scalar phantom-non-phantom transition model and generalized holographic dark energy
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Reconstruction of a scalar-tensor theory of gravity in an accelerating universe
• Can dark energy evolve to the Phantom?
• Cosmological scaling solutions of non-minimally coupled scalar fields
• Observational signatures of f(R) dark energy models that satisfy cosmological and local gravity constraints
• Extended Quintessence
• 1/R Curvature Corrections as the Source of the Cosmological Acceleration
• Quintessence, the Gravitational Constant, and Gravity
• Solar system and equivalence principle constraints on f(R) gravity by chameleon approach
• Crossing the Phantom Divide: Dark Energy Internal Degrees of Freedom
• Accelerated Cosmological Models in Ricci squared Gravity
• Cosmological observations in scalar-tensor quintessence
• Newton law corrections and instabilities in $f(R)$ gravity with the effective cosmological constant epoch
• The Case for an Accelerating Universe from Supernovae
• Dark energy and dust matter phases from an exact $f(R)$-cosmology model
• Higher-Order Corrections to the Effective Gravitational Action from Noether Symmetry Approach
• CMB and Matter Power Spectra of Early f(R) Cosmology in Palatini Formalism
• Exponential Potentials for Tracker Fields
• Is Noether Symmetric Approach Consistent With Dynamical Equation In Non-minimal Scalar-Tensor Theories?
• Quintessence, scalar-tensor theories and non-Newtonian gravity

Cited by in corpus (20)

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• Static spherically symmetric wormholes in generalized $f(R,\varphi )$ gravity
• Interacting new generalized Chaplygin gas
• Exact cosmological solutions from Hojman conservation quantities
• Three fluid cosmological model using Lie and Noether symmetries
• Exact solutions for scalar field cosmology in f(R) gravity
• Noether Symmetries of Some Homogeneous Universe Models in Curvature Corrected Scalar-Tensor Gravity
• Noether symmetry in $f(T)$ teleparallel gravity
• Exact cosmological solutions for MOG
• Linearized physics and gravitational-waves polarizations in the Palatini formalism of GBD theory
• Exact Scalar-Tensor Cosmological Models
• Exact Scalar-Tensor Cosmological Solutions via Noether Symmetry
• Exact Cosmological Solutions of $f(R)$ Theories via Hojman Symmetry
• Hojman Symmetry Approach for Scalar-Tensor Cosmology
• Hojman Symmetry in $f(T)$ Theory
• Closed-form solutions of the Wheeler-DeWitt equation in a scalar-vector field cosmological model by Lie symmetries
• Symmetries of Differential equations and Applications in Relativistic Physics