Noether Symmetry Approach for teleparallel-curvature cosmology

Abstract

We consider curvature-teleparallel $F(R,T)$ gravity, where the gravitational Lagrangian density is given by an arbitrary function of the Ricci scalar $R$ and the torsion scalar $T$. Using the Noether Symmetry Approach, we show that the functional form of the $F(R,T)$ function, can be determined by the presence of symmetries . Furthermore, we obtain exact solutions through to the presence of conserved quantities and the reduction of cosmological dynamical system. Example of particular cosmological models are considered.

9 pages. arXiv admin note: text overlap with arXiv:1406.5652

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• Noether Symmetries in Gauss-Bonnet-teleparallel cosmology
• Constraining $f(R)$ gravity by the Large Scale Structure
• Gravitational waves in modified teleparallel theories of gravity
• Observational constraints on Myrzakulov gravity
• Cosmological applications of Myrzakulov gravity
• Considerations on gravitational waves in higher-order local and non-local gravity
• Equivalence of non-minimally coupled cosmologies by Noether symmetries
• Dynamical complexity of the Teleparallel gravity cosmology
• Scalar-Tensor Teleparallel Gravity With Boundary Term by Noether Symmetries
• Dynamical system analysis of Myrzakulov gravity
• Exact Cosmology in Myrzakulov Gravity
• Transit cosmological models in Myrzakulov F(R,T) gravity theory
• FLRW Cosmology in Metric-Affine $F(R,Q)$ Gravity
• Noether's stars in $f(\mathcal{R})$ gravity
• Multi-fluid cosmology in Einstein gravity: analytical solutions
• Myrzakulov $F(T,Q)$ gravity: cosmological implications and constraints
• Updated F(T) gravity constraints from high redshift cosmography
• FRW string cosmological solutions via Hojman symmetry
• A new symmetry of the spatially flat Einstein-Friedmann equations
• Late-time-accelerated expansion arisen from gauge fields in an anisotropic background and a fruitful trick for Noether's approach
• Metric-Affine Myrzakulov Gravity Theories: Models, Applications and Theoretical Developments
• Gravitational partition function modified by super-light brane world perturbative modes
• Einstein-Gauss-Bonnet-Myrzakulov Gravity from $R+F(T,G)$: Numerical Insights and Torsion-Gauss-Bonnet Dynamics in Weitzenböck Spacetime
• Metric-affine Myrzakulov gravity theories with Gauss-Bonnet and boundary term scalars
• Noether symmetry in $F(T)$ gravity with $f$-essence
• Noether symmetry of FRW cosmology with f - essence