https://doi.org/10.1140/epjc/s10052-022-10201-7
Regular Article - Theoretical Physics
Classification of teleparallel Horndeski cosmology via Noether symmetries
1
Laboratory of Physics, Faculty of Engineering, Aristotle University of Thessaloniki, 54124, Thessaloníki, Greece
2
Center for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou University, 225009, Yangzhou, China
3
Institute of Space Sciences and Astronomy, University of Malta, MSD 2080, Msida, Malta
4
Department of Physics, University of Malta, Msida, Malta
c
zhnobia.oikonomopoulou.21@um.edu.mt
Received:
7
January
2022
Accepted:
8
March
2022
Published online:
26
March
2022
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.
© The Author(s) 2022
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