Consistency of universally nonminimally coupledf(R,T,RμνTμν)theories

2014/11/30 by Ismael Ayuso, Jose Beltrán Jiménez, Jose Beltran Jimenez +2 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical field theory #Consistency (knowledge bases) #Cosmology and Gravitation Theories #Curvature #Exact solutions in general relativity #General relativity #Geometry #Mathematical physics #Mathematics #Physics #Pure mathematics #Quantum mechanics #Ricci curvature #Scalar (mathematics) #Scalar curvature #Scalar field #Solar and Space Plasma Dynamics #Stress–energy tensor #Tensor (intrinsic definition) #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.91.104003

Minor changes, version published matching Phys. Rev. D 91 (2015) 104003. 15 pages, no figures

openalex publication_date 2015/05/06 · arxiv created 2015/05/14 · arxiv updated 2015/05/15 · openalex created_date 2017/10/20 · openalex updated_date 2026/08/05

Abstract

We discuss the consistency of a recently proposed class of theories described by an arbitrary function of the Ricci scalar, the trace of the energy-momentum tensor, and the contraction of the Ricci tensor with the energy-momentum tensor. We briefly discuss the limitations of including the energy-momentum tensor in the action, as it is a nonfundamental quantity but a quantity that should be derived from the action. The fact that theories containing nonlinear contractions of the Ricci tensor usually lead to the presence of pathologies associated with higher-order equations of motion will be shown to constrain the stability of this class of theories. We provide a general framework and show that the conformal and nonminimal couplings to the matter fields usually lead to higher-order equations of motion. To illustrate such limitations, we explicitly study the cases of a canonical scalar field, a K-essence field, and a massive vector field, whereas for the scalar field cases, it is possible to find healthy theories, and for the vector field case, the presence of instabilities is unavoidable.

Citations

• Ultraviolet-Protected Inflation
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• Covariant Galileon

Cited by

• Spotting deviations from R² inflation

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