Energy Conditions and Stability in $f(R)$ theories of gravity with non-minimal coupling to matter

Abstract

Recently, in the context of $f(R)$ modified theories of gravity, a new type of model has been proposed where one directly couples the scalar curvature to matter. As any model in $f(R)$ theory, there are certain conditions which have to be satisfy in order to ensure that the model is viable and physically meaningful. In this paper, one considers this new class of models with curvature-matter coupling and study them from the point of view of the energy conditions and of their stability under the Dolgov-Kawasaki criterion.

12 pages, 2 tables. Version to match the one to appear in Physical Review D

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Cited by in corpus (105)

• f(R) theories
• f(R,T) gravity
• f(R,L_m) gravity
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• Generalized curvature-matter couplings in modified gravity
• Energy Conditions in $f(Q)$ gravity
• 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
• Generalized energy conditions in Extended Theories of Gravity
• Energy conditions in $f(R,L_m)$ gravity
• Energy conditions in modified gravity
• Energy Conditions in Modified $f(G)$ Gravity
• The matter Lagrangian and the energy-momentum tensor in modified gravity with non-minimal coupling between matter and geometry
• Energy Conditions Constraints and Stability of Power Law Solutions in f(R,T) Gravity
• Accelerated expansion from a non-minimal gravitational coupling to matter
• Energy conditions bounds on f(T) gravity
• 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
• 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
• Palatini formulation of modified gravity with a nonminimal curvature-matter coupling
• Mimicking dark matter through a non-minimal gravitational coupling with matter
• Geodesic deviation, Raychaudhuri equation, and tidal forces in modified gravity with an arbitrary curvature-matter coupling
• Traversable Wormholes and Time Machines in non-minimally coupled curvature-matter $f(R)$ theories
• Physical Attributes of Anisotropic Compact Stars in $f(R,G)$ Gravity
• Analysis with observational constraints in $\Lambda$-cosmology in $f(R,T)$ gravity
• Gravitational waves in theories with a non-minimal curvature-matter coupling
• Gödel-type universes in f(R) gravity
• Modified Friedmann Equation from Nonminimally Coupled Theories of Gravity
• Beyond Einstein's General Relativity: Hybrid metric-Palatini gravity and curvature-matter couplings
• Solar System constraints to nonminimally coupled gravity
• The correspondence between a scalar field and an effective perfect fluid
• Non-minimally coupled f(R) Cosmology
• On the consistency of non-minimally coupled f(R) gravity
• On the non-attractive character of gravity in f(R) theories
• Variable Chaplygin gas cosmologies in f(R, T) gravity with particle creation
• Can structure formation distinguish ΛCDM from non-minimal f(R) Gravity?
• Perturbation of the metric around a spherical body from a nonminimal coupling between matter and curvature
• F(R) gravity's rainbow and its Einstein counterpart
• Role of $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ Model on the Stability of Cylindrical Stellar Model
• Extended LCDM: generalized non-minimal coupling for dark matter fluids
• Strong energy condition and the repulsive character of f(R) gravity
• Energy conditions in $f(T)$ gravity with non-minimal torsion-matter coupling
• Cosmological Analysis of Scalar Field Models in f(R,T) Gravity
• Gödel-type universes in Palatini f(R) gravity
• Spotting deviations from R^2 inflation
• Five-dimensional generalized $f(R)$ gravity with curvature-matter coupling
• $f(\mathsf{R})$ Gravity Wormholes sourced by a Phantom Scalar Field
• Energy Constraints and Phenomenon of Cosmic Evolution in $f(T,B)$ Framework
• Modified f(G) gravity models with curvature-matter coupling
• Black holes of $(2+1)$-dimensional $f(R)$ gravity coupled to a scalar field
• Eguchi-Hanson like space-times in F(R) gravity
• Energy Conditions in Higher Derivative $f(R,\square R,T)$ Gravity
• Thermodynamics and Perturbative Analysis of Some Newly Developed $\mathcal{F}(R,L_m,T)$ Theories Under the Scenario of Conserved Energy-momentum Tensor
• Massive Compact Bardeen Stars with Conformal Motion
• Energy condition bounds on $f(Q)$ model parameters in a curved FLRW universe
• Cosmology with Hu-Sawicki gravity in Palatini Formalism
• Asymptotically Lifshitz black hole solutions in F(R) gravity
• How different connections in flat FLRW geometry impact energy conditions in $f(Q)$ theory?
• Cosmographic constraints on a class of Palatini f(R) gravity
• Dynamical analysis of nonminimal coupled theories
• Future dynamics in f(R) theories
• Big-bang nucleosynthesis and cosmic microwave background constraints on non-minimally coupled theories of gravity
• Nonminimally Coupled Boltzmann Equation I: Foundations
• Dynamical conditions and causal transport of dissipative spherical collapse in $f(R,T)$ gravity
• Nonminimally coupled Weyl gravity
• Jeans Instability in Non-Minimal Matter-Curvature Coupling Gravity
• (2+1)-dimensional solutions in $F(R)$ gravity
• Phase-space of flat Friedmann-Robertson-Walker models with both a scalar field coupled to matter and radiation
• $(2+1)$-Dimensional Black Holes in $f(R,\varphi )$ Gravity
• Cosmological Consequences of Exponential Gravity in Palatini Formalism
• Bounds on Higher Derivative $f(R,\square R,T)$ Models from Energy Conditions
• Dark matter as a dynamic effect due to a non-minimal gravitational coupling with matter
• Charged Compact Stars in Extended $f(\mathcal{R},\mathcal{G},\mathcal{T})$ Gravity
• Energy conditions in f(T) gravity with higher-derivative torsion terms
• Particle creation and decay in nonminimally coupled models of gravity
• Dynamics of viable $f(R)$ dark energy models in the presence of Curvature-Matter interactions
• Validity of energy conditions of matter in traversable wormholes under the $f(Q)$ modified gravity theory
• Looking for empty topological wormhole spacetimes in $F(R)$-modified gravity
• Black hole solutions of gravity theories with nonminimal coupling between matter and curvature
• 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
• Compact relativistic geometries in $f(R,G)$ gravity
• Non-Singular Bouncing Model in Energy Momentum Squared Gravity
• Nonminimal global monopole
• Boltzmann's $H$-theorem, entropy and the strength of gravity in theories with a nonminimal coupling between matter and geometry
• 1/R Correction to Gravity in the Early Universe
• Motion of pole-dipole and quadrupole particles in non-minimally coupled theories of gravity
• Pressureless stationary solutions in a Newton-Yukawa gravity model
• Visible and Dark Matter Profiles in a Non-Minimally Coupled Model
• Effects of $f(R,G)$ gravity on anisotropic charged compact objects
• Cosmological constant constraints from observation-derived energy condition bounds and their application to bimetric massive gravity
• Palatini $f(\mathcal{R},{\mathcal{L}}_m,{\mathcal{R}}_{\mu \nu }{T}^{\mu \nu })$ gravity and its Born-Infeld semblance
• Cosmological Solutions of the Non-minimally Coupled Weyl Connection Gravity Theories
• Energy Conditions in Extended $f(R,G,T)$ Gravity
• Reconstruction of energy conditions from observations and implications for extended theories of gravity
• Energy Conditions in $f(P)$ Gravity
• Wormholes and Time-Machines in Nonminimally Coupled Matter-Curvature Theories of Gravity
• Energy conditions and constraints on the generalized non-local gravity model
• A Nonminimal Coupling Model and its Short-Range Solar System Impact
• Density perturbations in nonminimally coupled gravity: symptoms of Lagrangian density ambiguity
• Constraints on Energy Conditions in $f(R,L_m)$ Gravity
• A note on the comments of arXiv:2003.10154 [gr-qc] to our paper Nonminimally Coupled Boltzmann Equation I: Foundations (arXiv:2002.08184 [gr-qc])
• Cosmological and lunar laser ranging constraints on evolving dark energy in a nonminimally coupled curvature-matter gravity model