$f(T)$ cosmology via Noether symmetry

Abstract

We consider Noether symmetry approach to find out exact cosmological solutions in $f(T)$-gravity. Instead of taking into account phenomenological models, we apply the Noether symmetry to the $f(T)$ gravity. As a result, the presence of such symmetries selects viable models and allow to solve the equations of motion. We show that the generated $f(T)$ leads to a power law expansion for the cosmological scale factor.

11 pages, 2 figures. Final version, accepted for publication in EPJC. arXiv admin note: substantial text overlap with arXiv:1109.1694, arXiv:0804.2163, arXiv:0804.3449, arXiv:0809.4591 by other authors

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• Phase-Space analysis of Teleparallel Dark Energy
• Nonminimal torsion-matter coupling extension of f(T) gravity
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• Viable f(T) models are practically indistinguishable from LCDM
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• New Schwarzschild-like solutions in f(T) gravity through Noether symmetries
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• Noether symmetries and analytical solutions in f(T)-cosmology: A complete study
• Cosmological applications of $F(T,T_G)$ gravity
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• Dynamical features of scalar-torsion theories
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• $f(T)$ gravitational baryogenesis
• Anisotropic fluid for a set of non-diagonal tetrads in f(T) gravity
• Scalar Tensor Teleparallel Dark Gravity via Noether Symmetry
• A Built-in Inflation in the $f(T)$-Cosmology
• Updated constraints on $f(T)$ models using direct and indirect measurements of the Hubble parameter
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• FRW in quadratic form of $f(T)$ gravitational theories
• Generalized Noether symmetry in f(T) gravity
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• Teleparallel dark energy model with a fermionic field via Noether symmetry
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• Cartan symmetries and global dynamical systems analysis in a higher-order modified teleparallel theory
• Matter Density Perturbations in Modified Teleparallel Theories
• Exact Spherically Symmetric Solutions in Modified Teleparallel gravity
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• Exact cosmological solutions from Hojman conservation quantities
• Modified teleparallel gravity with higher-derivative torsion terms
• Equivalence of non-minimally coupled cosmologies by Noether symmetries
• Non-minimal Coupling of Torsion-matter Satisfying Null Energy Condition for Wormhole Solutions
• Noether symmetries and boundary terms in extended Teleparallel gravity cosmology
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• Inhomogeneous Universe in f(T) Theory
• Noether Gauge Symmetry of Modified Teleparallel Gravity Minimally Coupled with a Canonical Scalar Field
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• Violation of causality in $f(T)$ gravity
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• PeV IceCube signals and Dark Matter relic abundance in modified cosmologies
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• Exact cosmological solutions for MOG
• Inflation with F(T) Teleparallel Gravity
• A Complete Cosmological Scenario in Teleparallel Gravity
• Analysis of the non-minimally coupled scalar field in the Palatini formalism by the Noether symmetry approach
• Integrability from Point Symmetries in a family of Cosmological Horndeski Lagrangians
• Einstein static universe on the brane supported by extended Chaplygin gas
• Emergent Universe in the Braneworld Scenario
• Hojman Symmetry Approach for Scalar-Tensor Cosmology
• Myrzakulov $F(T,Q)$ gravity: cosmological implications and constraints
• A viable form of the metric Teleparallel F(T) theory of gravity
• Noether symmetry in Horndeski Lagrangian
• Emergent Cosmos in Einstein-Cartan Theory
• f(T) Quantum Cosmology
• Renyi Holographic Dark Energy models in Teleparallel gravity
• Three-Dimensional Hairy Black Holes in Teleparallel Gravity
• Energy Constraints and $F(T,T_G)$ Cosmology
• Mimetic f(T) Teleparallel gravity and cosmology
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• Noether symmetry in $F(T)$ gravity with $f$-essence
• Quantum cosmology in teleparallel gravity with a boundary term
• Cosmological solutions in the Brans-Dicke theory via invariants of symmetry groups