Nonminimal scalar-tensor theories

2014/11/06 by Ismael Ayuso, Jose A. R. Cembranos, José A. R. Cembranos
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical field theory #Classical mechanics #Cosmology and Gravitation Theories #Curvature #Degrees of freedom (physics and chemistry) #Einstein #Einstein tensor #Exact solutions in general relativity #General relativity #Geometry #Gravitation #Graviton #Massless particle #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Riemann curvature tensor #Scalar (mathematics) #Scalar field #Scalar theories of gravitation #Tensor (intrinsic definition) #Tensor field #Theoretical physics #gr-qc

paper · pdf · doi:10.1103/physrevd.101.044007

published as Phys. Rev. D 101, 044007 (2020) · 12 pages, no figures

arxiv created 2014/11/06 · openalex publication_date 2020/02/05 · arxiv updated 2020/02/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We compute the spectrum, mixing and interaction structure of scalar models with a general coupling to the scalar curvature. As it is well known the perturbative states of these theories are given by two massive spin-0 modes in addition to one massless spin-2 state. This latter mode can be identified with the standard graviton field. Indeed, it is possible to define an Einstein frame, where the dynamics of the massless spin-2 graviton is the one associated with the Einstein-Hilbert action. We explore systematically the interactions of all these degrees of freedom in the mentioned frame, since part of the coupling structure can be anticipated by geometrical arguments.

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