https://doi.org/10.1140/epjc/s10052-024-13088-8
Regular Article - Theoretical Physics
General analysis of Noether symmetries in Horndeski gravity
1
Scuola Superiore Meridionale, Largo San Marcellino 10, 80138, Naples, Italy
2
Istituto Nazionale di Fisica Nucleare, Sezione di Napoli, Complesso Universitario Monte Sant’Angelo, Edificio G, 80126, Via Cinthia, Naples, Italy
3
Dipartimento di Fisica “E. Pancini”, Università di Napoli “Federico II”, Complesso Universitario Monte Sant’Angelo, Edificio G, 80126, Via Cinthia, Naples, Italy
Received:
28
May
2024
Accepted:
25
June
2024
Published online:
3
August
2024
We explore Noether symmetries of Horndeski gravity, extending the classification of general scalar–tensor theories. Starting from the minimally coupled scalar field and the first-generation scalar–tensor gravity, the discussion is generalised to kinetic gravity braiding and Horndeski gravity. We highlight the main findings by focusing on the non-minimally coupled Gauss–Bonnet term and the extended cuscuton model. Finally, we discuss how the presence of matter can influence Noether symmetries. It turns out that the selected Horndeski functions are unchanged with respect to the vacuum case.
© The Author(s) 2024
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