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

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.

typos corrected, minor changes, version published in CQG

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• f(R,L_m) gravity
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• Further matters in space-time geometry: $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ gravity
• Generalized curvature-matter couplings in modified gravity
• Thermodynamic interpretation of the generalized gravity models with geometry - matter coupling
• Wormhole geometries supported by a nonminimal curvature-matter coupling
• The Lagrangian description of perfect fluids and modified gravity with an extra force
• Nonminimal curvature-matter coupled wormholes with matter satisfying the null energy condition
• Energy Conditions and Stability in $f(R)$ theories of gravity with non-minimal coupling to matter
• Energy-Momentum Squared Gravity
• The matter Lagrangian and the energy-momentum tensor in modified gravity with non-minimal coupling between matter and geometry
• On the consistency of universally non-minimally coupled $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ theories
• Extended $f(R,L_m)$ gravity with generalized scalar field and kinetic term dependences
• Matter density perturbations in modified gravity models with arbitrary coupling between matter and geometry
• New derivation of the Lagrangian of a perfect fluid with a barotropic equation of state
• Galactic rotation curves in modified gravity with non-minimal coupling between matter and geometry
• Energy Conditions in $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ Gravity
• Compact stars in Energy-Momentum Squared Gravity
• Inflation from N-Forms and its stability
• Palatini formulation of modified gravity with a nonminimal curvature-matter coupling
• Exact solutions of f(R) gravity coupled to nonlinear electrodynamics
• Initial and final de Sitter universes from modified $f(R)$ gravity
• Recovering a MOND-like acceleration law in mimetic gravity
• Mimicking dark matter in galaxy clusters through a non-minimal gravitational coupling with matter
• Geodesic deviation, Raychaudhuri equation, and tidal forces in modified gravity with an arbitrary curvature-matter coupling
• Covariantizing the interaction between dark energy and dark matter
• Conservation laws in theories with universal gravity/matter coupling
• A Perturbative Approach to the Redshift Space Power Spectrum: Beyond the Standard Model
• Gravitational waves in theories with a non-minimal curvature-matter coupling
• Static traversable wormhole solutions in $f(R,L_m)$ gravity
• Motion of test bodies in theories with nonminimal coupling
• Modified Gravity with a Non-minimal Gravitational Coupling to Matter
• Non-geodesic motion in $f(\mathcal{G})$ gravity with non-minimal coupling
• The correspondence between a scalar field and an effective perfect fluid
• Effects of quantum fluctuations of metric on the universe
• On the consistency of non-minimally coupled f(R) gravity
• Late-time cosmology of scalar-tensor theories with universal multiplicative coupling between the scalar field and the matter Lagrangian
• Wormhole solutions in $f(R)$ Gravity
• Unveiling the Dynamics of the Universe
• Perfect fluid Lagrangian and its cosmological implications in theories of gravity with nonminimally coupled matter fields
• Non-minimal Gravitational Coupling of Phantom and Big Rip Singularity
• Generalised Ellis-Bronnikov Wormholes in $f(R)$ Gravity
• Baryogenesis in Nonminimally Coupled $f(R)$ Theories
• Constraining chameleon field driven warm inflation with Planck 2018 data
• Intrinsic Solar System decoupling of a scalar-tensor theory with a universal coupling between the scalar field and the matter Lagrangian
• Spotting deviations from R^2 inflation
• Generalized Energy-Momentum-Squared Gravity in the Palatini Formalism
• Position and frequency shifts induced by massive modes of the gravitational wave background in alternative gravity
• Modified f(G) gravity models with curvature-matter coupling
• On the Chameleon Brans-Dicke Cosmology
• Dynamical analysis of generalised $f(R,\mathcal{L})$ theories
• Thermodynamics in $f(R,\mathcal{L})$ theories: Apparent horizon in the FLRW spacetime
• Growth of matter overdensities in non-minimal torsion-matter coupling theories
• On possible wormhole solutions supported by non-commutative geometry within $f(R,L_m)$ gravity
• Merging matter and geometry in the same Lagrangian
• Dynamical analysis of nonminimal coupled theories
• Exploring wormhole solutions in curvature-matter coupling gravity supported by noncommutative geometry and conformal symmetry
• Big-bang nucleosynthesis and cosmic microwave background constraints on non-minimally coupled theories of gravity
• The first variation of the matter energy-momentum tensor with respect to the metric, and its implications on modified gravity theories
• Solar system tests for realistic $f(T)$ models with nonminimal torsion-matter coupling
• Dynamical reconstruction of the $\Lambda$CDM model in scalar-tensor $f(R,T)$ gravity
• Lagrangian description of cosmic fluids: mapping dark energy into unified dark energy
• Nonminimally coupled Weyl gravity
• Constraining a nonminimally coupled curvature-matter gravity model with ocean experiments
• Scalar particle production in a simple Horndeski theory
• Gravitational collapse in non-minimally coupled gravity: finite density singularities and the breaking of the no-hair theorem
• Lessons from $f(R,R_c^2,R_m^2,L_m)$ gravity: Smooth Gauss-Bonnet limit, energy-momentum conservation and nonminimal coupling
• Dynamical analysis of modified gravity with nonminimal gravitational coupling to matter
• Multi-fluid cosmology in Einstein gravity: analytical solutions
• Screening Mechanism and Late-time Cosmology: Role of a Chameleon-Brans-Dicke Scalar Field
• Particle creation and decay in nonminimally coupled models of gravity
• Investigating the physical and geometrical parameters of the cosmological models with anisotropic background
• The 1/c expansion of nonminimally coupled curvature-matter gravity model and constraints from planetary precession
• Cassini and extra force constraints to nonminimally coupled gravity with screening mechanism
• Viability of nonminimally coupled f (R) gravity
• The study of Kantowski-Sachs perfect fluid cosmological model in modified gravity
• Distance-duality in theories with a nonminimal coupling to gravity
• Unscreening of f(R) gravity near the galactic center black hole: Testability through pericenter shift below S0-2's orbit
• Cosmic evolution in the background of non-minimal coupling in $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ Gravity
• Motion of pole-dipole and quadrupole particles in non-minimally coupled theories of gravity
• The γ parameter in Brans-Dicke-like (light-)Scalar-Tensor theory with a universal scalar/matter coupling
• Boltzmann's $H$-theorem, entropy and the strength of gravity in theories with a nonminimal coupling between matter and geometry
• Will gravitational waves confirm Einstein's General Relativity?
• Second law of thermodynamics in nonminimally coupled gravity
• Visible and Dark Matter Profiles in a Non-Minimally Coupled Model
• A new source for a braneworld cosmological constant from a modified gravity model in the bulk
• Modified Gravity with Nonminimal Curvature-Matter Couplings: A Framework for Gravitationally Induced Particle Creation
• Notes on the Chameleon Brans-Dicke Gravity
• Entropic considerations on the Universe and Universe-Black Hole Systems
• Action functional of the Cardassian universe
• (Non-) geodesic motion in chameleon Brans Dicke model
• Unified first law for traversable wormholes in non-minimal coupling of curvature and matter
• Cosmological Constant in Chameleon Brans-Dicke Theory
• Observational constraints on generic models of non-minimal curvature-matter coupling
• Revisiting local-scale invariant gravitational theory
• Cosmological and lunar laser ranging constraints on evolving dark energy in a nonminimally coupled curvature-matter gravity model
• Constraining runaway dilaton models using joint gravitational-wave and electromagnetic observations
• Interferometric detection of gravitational waves arising from extended theories of gravity
• Is Dark Energy an Effective Manifestation of Non-equilibrium Thermodynamics? -- Insights from DESI