Scalar-Tensor Gravity Cosmology: Noether symmetries and analytical solutions
arXiv:1403.0332 · doi:10.1103/PhysRevD.89.063532
Abstract
In this paper, we present a complete Noether Symmetry analysis in the framework of scalar-tensor cosmology. Specifically, we consider a non-minimally coupled scalar field action embedded in the FLRW spacetime and provide a full set of Noether symmetries for related minisuperspaces. The presence of symmetries implies that the dynamical system becomes integrable and then we can compute cosmological analytical solutions for specific functional forms of coupling and potential functions selected by the Noether Approach.
9 pages, accepted for publication by Phys. Rev. D
References in corpus (20)
- Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
- Dynamics of dark energy
- Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
- Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
- Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
- Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Data Processing, Sky Maps, and Basic Results
- Improved Cosmological Constraints from New, Old and Combined Supernova Datasets
- Disappearing cosmological constant in f(R) gravity
- Improved Dark Energy Constraints from ~100 New CfA Supernova Type Ia Light Curves
- Extended Theories of Gravity and their Cosmological and Astrophysical Applications
- Spherically symmetric solutions in f(R)-gravity via Noether Symmetry Approach
- Stability of Cosmological Solution in f(R) Models of Gravity
- Mapping the Cosmological Expansion
- Using the Noether symmetry approach to probe the nature of dark energy
- Dark energy as a massive vector field
- Noether symmetry in cosmology
- Lie and Noether symmetries of geodesic equations and collineations
- Two dimensional dynamical systems which admit Lie and Noether symmetries
- Scalar Tensor Teleparallel Dark Gravity via Noether Symmetry
- Can Old Galaxies at High Redshifts and Baryon Acoustic Oscillations Constrain H_0?
Cited by in corpus (11)
- Noether Symmetry Approach in Gauss-Bonnet Cosmology
- Noether Symmetries in Gauss-Bonnet-teleparallel cosmology
- Two scalar field cosmology: Conservation laws and exact solutions
- Invariant solutions and Noether symmetries in Hybrid Gravity
- Dynamical symmetries and observational constraints in scalar field cosmology
- Noether analysis of Scalar-Tensor Cosmology
- Dynamical symmetries in Brans-Dicke cosmology
- Noether Symmetry Approach in Energy-Momentum Squared Gravity
- Classification of Teleparallel Horndeski Cosmology via Noether Symmetries
- Relativistic Ermakov-Milne-Pinney Systems and First Integrals
- Noether gauge symmetry of Dirac field in dimensional gravity