Generalized Noether symmetry in f(T) gravity

Abstract

We consider modified teleparallel gravity, (f(T) gravity), as a framework to explain the present accelerated expansion of the universe. The matter component is assumed to be cold dark matter. To find the explicit form of the function $f$, we utilize generalized Noether theorem and use generalized vector fields as variational symmetries of the corresponding Lagrangian. We study the cosmological consequences of the obtained results.

14 pages, 3 figures

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• Scalar Tensor Teleparallel Dark Gravity via Noether Symmetry
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• Generalized teleparallel cosmology and initial singularity crossing
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• Cartan symmetries and global dynamical systems analysis in a higher-order modified teleparallel theory
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• The distinctions between $\Lambda$CDM and $f(T)$ gravity according Noether symmetry
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• Lorenz Gauge Fixing of $f(T)$ Teleparallel Cosmology
• Scalar-Tensor Teleparallel Gravity With Boundary Term by Noether Symmetries
• New integrable models and analytical solutions in $f(R)$~cosmology with an ideal gas
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• Onset of acceleration in a Universe initially filled by dark and baryonic matters in nonminimally coupled teleparallel model
• Bounce Models within Teleparallel modified gravity
• Spherical Accretion of Matter by Charged Black Holes on f(T) Gravity
• Periodical orbits and waveforms with spontaneous Lorentz symmetry-breaking in Kalb-Ramond gravity
• Alleviating $H_0$ tension in scalar-tensor and bi-scalar-tensor theories
• Noether gauge symmetry approach in quintom cosmology
• Reheating in a modified teleparallel model of inflation
• Evaporation phenomena in f(T) gravity
• Integrability from Point Symmetries in a family of Cosmological Horndeski Lagrangians
• Generic Phase Portrait Analysis of the Finite-time Singularities and Generalized Teleparallel Gravity
• Exact Kantowski-Sachs spacetimes in Einstein-Aether Scalar field theory
• Generalized Teleparallel Theory
• Noether symmetry in $F(T)$ gravity with $f$-essence
• Generalized Noether Theorem for Gauss-Bonnet Cosmology