Symmetric teleparallel Horndeski gravity

0583623 - FZÚ 2024 RIV US eng J - Journal Article
Bahamonde, S. - Trenkler, Georg - Trombetta, Leonardo G. - Yamaguchi, M.
Symmetric teleparallel Horndeski gravity.
Physical Review D. Roč. 107, č. 10 (2023), č. článku 104024. ISSN 2470-0010. E-ISSN 2470-0029
R&D Projects: GA ČR(CZ) GA20-28525S
Grant - others:AV ČR(CZ) JSPS-21-12
Program: Bilaterální spolupráce
Institutional support: RVO:68378271
Keywords : alternative gravity theorie * general relativity
OECD category: Particles and field physics
Impact factor: 5, year: 2022
Method of publishing: Limited access
https://doi.org/10.1103/PhysRevD.107.104024

In this paper, we formulate an analog version of Horndeski gravity in a symmetric teleparallel geometry which assumes that both the curvature (general) and torsion are vanishing and gravity is only related to nonmetricity. Our setup requires that the Euler-Lagrange equations for not only metric and scalar field but also connection should be at most second order. We find that the theory can be always recast as a sum of the Riemannian-Horndeski theory and new terms that are purely teleparallel. Due to the nature of nonmetricity, there are many more possible ways of constructing second-order theories of gravity. In this regard, up to some assumptions, we find the most general k-essence extension of symmetric teleparallel Horndeski gravity. We also formulate a novel theory containing higher-order derivatives acting on nonmetricity while still respecting the second-order conditions, which can be recast as an extension of kinetic gravity braiding.
Permanent Link: https://hdl.handle.net/11104/0351636