f(R) cosmology by Noether's symmetry

Abstract

A general approach to find out exact cosmological solutions in f(R)-gravity is discussed. Instead of taking into account phenomenological models, we assume, as a physical criterium, the existence of Noether symmetries in the cosmological f(R) Lagrangian. As a result, the presence of such symmetries selects viable models and allow to solve the equations of motion. We discuss also the case in which no Noether charge is present but general criteria can be used to achieve solutions.

23 pages, uses RevTeX

References in corpus (5)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Low surface brightness galaxies rotation curves in the low energy limit of $R^n$ gravity : no need for dark matter?
• Non-Gaussian Inflationary Perturbations from the dS/CFT Correspondence
• Cosmological Perturbations on a Bouncing Brane
• Is Noncommutative Eternal Inflation Possible?

Cited by in corpus (118)

• f(R) Theories Of Gravity
• f(R) theories
• f(T) teleparallel gravity and cosmology
• Teleparallel Gravity: From Theory to Cosmology
• Construction of cosmologically viable f(G) gravity models
• Noether Symmetry Approach in $f(T,B)$ teleparallel cosmology
• New Schwarzschild-like solutions in f(T) gravity through Noether symmetries
• Solar system constraints on f(G) gravity models
• Noether symmetries and analytical solutions in f(T)-cosmology: A complete study
• Dark energy from modified gravity with Lagrange multipliers
• Noether Symmetry in $f(T)$ Theory
• Using the Noether symmetry approach to probe the nature of dark energy
• Noether Symmetry Approach in f(R) Tachyon Model
• $f(T)$ cosmology via Noether symmetry
• Cosmological viable Mimetic $f(R)$ and $f(R,T)$ theories via Noether symmetry
• Noether symmetry approach in phantom quintessence cosmology
• Initial and final de Sitter universes from modified $f(R)$ gravity
• Constraints and analytical solutions of $f(R)$ theories of gravity using Noether symmetries
• New Spherically Symmetric Solutions in f(R)-gravity by Noether Symmetries
• Delicate f(R) gravity models with disappearing cosmological constant and observational constraints on the model parameters
• Vacuum structure for scalar cosmological perturbations in Modified Gravity Models
• Bianchi Type I Cosmology in Generalized Saez-Ballester Theory via Noether Gauge Symmetry
• Scalar Tensor Teleparallel Dark Gravity via Noether Symmetry
• Non-Local Gravity Cosmology: an Overview
• Astrophysical flows near $f(T)$ gravity black holes
• f(G) Noether cosmology
• Invariant solutions and Noether symmetries in Hybrid Gravity
• Noether Symmetries as a geometric criterion to select theories of gravity
• Remarks on generalized Gauss-Bonnet dark energy
• Kinematic model-independent reconstruction of Palatini $f(R)$ cosmology
• Noether gauge symmetry for $f(R)$ gravity in Palatini formalism
• Recovering MOND from extended metric theories of gravity
• Conformally related metrics and Lagrangians and their physical interpretation in cosmology
• Generalized Noether symmetry in f(T) gravity
• Noether Symmetry Approach in multiple scalar fields Scenario
• Gauss-Bonnet dark energy by Lagrange multipliers
• Scalar-Tensor Gravity Cosmology: Noether symmetries and analytical solutions
• Teleparallel dark energy model with a fermionic field via Noether symmetry
• Classification of the Horndeski cosmologies via Noether Symmetries
• Dynamical symmetries and observational constraints in scalar field cosmology
• Swampland conjecture in $f(R)$ gravity by the Noether Symmetry Approach
• Exact Spherically Symmetric Solutions in Modified Teleparallel gravity
• New Exact Spherically Symmetric Solutions in $f(R,\varphi ,X)$ gravity by Noether's symmetry approach
• Symmetries of geodesic motion in Gödel-type spacetimes
• Early and late time cosmology: the $f(R)$ gravity perspective
• Noether Symmetries and Quantum Cosmology in Extended Teleparallel Gravity
• A Dynamical System Analysis of $f(R,T)$ Gravity
• On Primordial Black Holes from Rapid Turns in Two-field Models
• Constraining non-minimally coupled tachyon fields by Noether symmetry
• Equivalence of non-minimally coupled cosmologies by Noether symmetries
• Classification of Teleparallel Horndeski Cosmology via Noether Symmetries
• String duality transformations in $f(R)$ gravity from Noether symmetry approach
• A late time accelerated FRW model with scalar and vector fields via Noether symmetry
• Existence of Wormholes in $f(\mathcal{G})$ Gravity using Symmetries
• Scalar-Tensor Teleparallel Gravity With Boundary Term by Noether Symmetries
• Noether Symmetries of Some Homogeneous Universe Models in Curvature Corrected Scalar-Tensor Gravity
• New exact solutions of Bianchi I, Bianchi III and Kantowski-Sachs spacetimes in scalar-coupled gravity theories via Noether gauge symmetries
• The Noether Bessel Hagen Symmetry Approach for Dynamical Systems
• A study of phantom scalar field cosmology using Lie and Noether symmetries
• Noether symmetries and duality transformations in cosmology
• Why scalar-tensor equivalent theories are not physically equivalent?
• Revisiting Noether gauge symmetry for F(R) theory of gravity
• Dark Energy from Inspiraling in Field Space
• Modified gravity with an exponential function of curvature
• Noether symmetric minisuperspace model of $f(R)$ cosmology
• Analysis of the non-minimally coupled scalar field in the Palatini formalism by the Noether symmetry approach
• Minisuperspace Quantum Cosmology in Metric and Affine Theories of Gravity
• Two-field Cosmological $\alpha$-attractors with Noether Symmetry
• Unified cosmology with Non-minimally coupled scalar-tensor theory of gravity
• Studying the Intervention of an Unusual Term in $f(T)$ Gravity via Noether Symmetry
• Observational signatures of a static $f(R)$ black hole with thin accretion disk
• Revisiting conserved currents in F(R) theory of gravity via Noether symmetry
• Noether Symmetries in $f(T,T_G)$ Cosmology
• Hidden symmetries of two-field cosmological models
• Wheeler-DeWitt equation and Lie symmetries in Bianchi scalar-field cosmology
• Noether symmetry in the Nash theory of gravity
• Exploring departures from Schwarzschild black hole in $f(R)$ gravity
• Quintom cosmological model and some possible solutions using Lie and Noether symmetries
• Noether Symmetry Approach for Dirac-Born-Infeld Cosmology
• On the equivalence between different canonical forms of F(R) theory of gravity
• A relativistic description of MOND using the Palatini formalism in an extended metric theory of gravity
• Noether symmetry approach in the cosmological alpha-attractors
• Constraints on kinematic parameters at $z\ne 0$
• MOND as the weak field limit of an extended metric theory of gravity with torsion
• Interacting quintessence cosmology from Noether symmetries: comparing theoretical predictions with observational data
• Cosmic expansion from boson and fermion fields
• Field independent cosmic evolution
• Late-time-accelerated expansion arisen from gauge fields in an anisotropic background and a fruitful trick for Noether's approach
• Noether Symmetry Approach to the Non-Minimally Coupled $Y(R)F^2$ Gravity
• Three-dimensional black holes via Noether symmetries
• Reconstruction of $f(R)$, $f(T)$ and $f(\mathcal{G})$ models inspired by variable deceleration parameter
• Non-minimally coupled scalar field in Kantowski--Sachs model and symmetry analysis
• New one-parametric extension of the Starobinsky inflationary model
• Reconstructing modified gravity with holographic vacuum energy density
• General analysis of Noether symmetries in Horndeski gravity
• Validating variational principle for higher order theory of gravity
• Dynamics of Inspiraling Dark Energy
• Noether Symmetry Approach in Eddington-inspired Born-Infeld gravity
• Linearized Field Equations and Extra Force in $f(R,{\mathbf{T}}^{(n)})$ Extended Gravity
• Gravitational Collapse in Repulsive $R+{\mu }^4/R$ Gravity
• Multiscalar field cosmological model and possible solutions using Noether symmetry approach
• Raychaudhuri-based reconstruction of anisotropic Einstein-Maxwell equation in 1+3 covariant formalism of $f(R)$-gravity
• (2+1)-dimensional f(R) gravity solutions via Hojman symmetry
• Variable $G$ and $\Lambda$ gravity theory and analytical Cosmological Solutions using Noether symmetry approach
• Oscillating cosmic evolution and constraints on big bang nucleosynthesis in the extended Starobinsky model
• Cylindrically symmetric and plane-symmetric solutions in $f(R)$ theory via Noether symmetries
• Scalar-tensor baryogenesis: a scalar-tensor completion of gravitational baryogenesis
• Symmetry and Conserved Quantities in $f(R)$-Gravity: Mei vs. Noether Approaches
• Conformal transformation route to gravity's rainbow
• Classical and quantum cosmology in $f(T)$-gravity theory: A Noether symmetry approach
• Noether symmetry approach in non-minimal derivative coupling gravity
• Minisuperspace Cosmology in Extended Geometric Trinity of Gravity
• A Viable model for modified gravity
• Noether Symmetry in f(T) Theory at the anisotropic universe
• New conserved tensors and Brans-Dicke type field equation, using integrability condition
• Revisiting Noether symmetry approach in F(R)-tachyon Model
• Noether gauge symmetry approach applying for the non-minimally coupled gravity to the Maxwell field
• Analyzing Conserved Currents in F(R) theory of gravity