General analysis of Noether symmetries in Horndeski gravity
General Relativity and Quantum Cosmology
2024-08-20 v1 Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
Abstract
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.
Keywords
Cite
@article{arxiv.2408.09018,
title = {General analysis of Noether symmetries in Horndeski gravity},
author = {Marcello Miranda and Salvatore Capozziello and Daniele Vernieri},
journal= {arXiv preprint arXiv:2408.09018},
year = {2024}
}
Comments
18 pages. Matches published version in EPJC