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Symmetric Teleparallel Horndeski Gravity
- Source :
- Phys. Rev. D 107 (2023), 104024
- Publication Year :
- 2022
-
Abstract
- Horndeski gravity is the most general scalar-tensor theory with one scalar field leading to second-order Euler-Lagrange field equations for the metric and scalar field, and it is based on Riemannian geometry. In this paper, we formulate an analogue 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. We finish our study by presenting the FLRW cosmological equations for our model.<br />Comment: 35 pages. Matches published version in PRD
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. D 107 (2023), 104024
- Publication Type :
- Report
- Accession number :
- edsarx.2212.08005
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevD.107.104024