Modified gravity with R –matter couplings and (non-)geodesic motion

2008/05/31 by Thomas P. Sotiriou, Valerio Faraoni · 180 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Classical field theory #Classical mechanics #Cosmology and Gravitation Theories #Dark matter #Equivalence principle (geometric) #Galaxies: Formation, Evolution, Phenomena #Geodesic #Geometry #Gravitation #Mathematical physics #Parameterized post-Newtonian formalism #Particle physics #Physics #Quantum #Quantum gravity #Quantum mechanics #Scalar (mathematics) #Scalar theories of gravitation #Scalar–tensor theory #Theoretical physics #astro-ph #f(R) gravity #gr-qc #hep-th

paper · pdf · doi:10.1088/0264-9381/25/20/205002

published in Classical and Quantum Gravity 25(20), 205002 (IOP Publishing) · typos corrected, minor changes, version published in CQG

openalex publication_date 2008/09/25 · arxiv created 2008/09/27 · arxiv updated 2010/05/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We consider alternative theories of gravity with a direct coupling between matter and the Ricci scalar. We study the relation between these theories and ordinary scalar–tensor gravity, or scalar–tensor theories which include non-standard couplings between the scalar and matter. We then analyze the motion of matter in such theories, its implications for the equivalence principle, and the recent claim that they can alleviate the dark matter problem in galaxies.

Citations

• Realistic cosmological model with dynamical cancellation of vacuum energy
• The one-loop effective action in phi4theory coupled non-linearly with the power of the curvature and the dynamical origin of the cosmological constant
• Low surface brightness galaxy rotation curves in the low energy limit of Rn gravity: no need for dark matter?
• Perfect Fluids in General Relativity: Velocity Potentials and a Variational Principle
• Extended theories of gravity and their cosmological and astrophysical applications
• A modification of the Newtonian dynamics as a possible alternative to the hidden mass hypothesis
• The Cauchy problem of f ( R ) gravity
• The Large Scale Structure of Space-Time
• The metric-affine formalism off(R) gravity
• Solar system testsdorule out1/Rgravity
• Note on gravitational baryogenesis
• A new improved energy-momentum tensor
• Is cosmic speed-up due to new gravitational physics?
• Action functionals for relativistic perfect fluids
• Three‐YearWilkinson Microwave Anisotropy Probe(WMAP) Observations: Implications for Cosmology
• de Sitter space and the equivalence betweenf(R)and scalar-tensor gravity
• INTRODUCTION TO MODIFIED GRAVITY AND GRAVITATIONAL ALTERNATIVE FOR DARK ENERGY

Cited by

• Entropic considerations on the Universe and Universe-black hole systems
• Baryogenesis in nonminimally coupled f(R) theories
• Dynamical analysis of generalizedf(R,L)theories
• Thermodynamic interpretation of the generalized gravity models with geometry-matter coupling
• Energy-momentum squared gravity
• Matter density perturbations in modified gravity models with arbitrary coupling between matter and geometry
• Wormhole geometries supported by a nonminimal curvature-matter coupling
• Consistency of universally nonminimally coupledf(R,T,RμνTμν)theories