Classification of Teleparallel Horndeski Cosmology via Noether Symmetries

Abstract

Teleparallel Horndeski theory offers an avenue through which to circumvent the speed constraint of gravitational waves in an efficient manner. However, this provides an even larger plethora of models due to the increase in action terms. In this work we explore these models in the context of cosmological systems. Using Noether point symmetries, we classify the dynamical systems that emerge from Teleparallel Horndeski cosmologies. This approach is very effective at selecting specific models in the general class of second-order Teleparallel scalar-tensor theories, as well as for deriving exact solutions within a cosmological context. By iterating through the Lagrangians selected through the Noether symmetries, we solve for a number of cosmological systems which provides new cosmological systems to be studied.

26 pages, details in https://github.com/jacksonsaid/BDLS_Noether_classification, published in EPJC

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• Big Bang Nucleosynthesis constraints on $f(T,T_G)$ gravity
• Noether Symmetry Approach in Scalar-Torsion $f(T,\varphi )$ Gravity
• Ghost and Laplacian Instabilities in the Teleparallel Horndeski Gravity
• Cosmic Growth in $f(T)$ Teleparallel Gravity
• Noether Symmetries in $f(T,T_G)$ Cosmology
• Non-minimally coupled teleparallel scalar field reconstruction of matter bounce scenario
• Classification of the Lie and Noether symmetries for the Klein-Gordon equation in Anisotropic Cosmology
• Multiscalar-torsion Cosmology: Exact and Analytic Solutions from Noether Symmetries
• Quartic Horndeski-Cartan theories in a FLRW universe
• Propagating Gravitational Waves in Teleparallel Gauss-Bonnet Gravity
• Gauge invariant perturbations in teleparallel Horndeski gravity
• Painlevé analysis for the cosmological field equations in Weyl Integrable Spacetime