Do f(R) theories matter?

Abstract

We consider a modified action functional with a non-minimum coupling between the scalar curvature and the matter Lagrangian, and study its consequences on stellar equilibrium. Particular attention is paid to the validity of the Newtonian regime, and on the boundary and exterior matching conditions, as well as on the redefinition of the metric components. Comparison with solar observables is achieved through numerical analysis, and constraints on the non-minimum coupling are discussed.

15 pages, 8 figures

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Cited by in corpus (84)

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• f(R,L_m) gravity
• Wormhole geometries in f(R) modified theories of gravity
• Nonminimal coupling of perfect fluids to curvature
• Modified gravity with arbitrary coupling between matter and geometry
• Generalized curvature-matter couplings in modified gravity
• Cosmological and Solar System Consequences of f(R,T) Gravity Models
• Wormhole geometries supported by a nonminimal curvature-matter coupling
• Metric-Palatini gravity unifying local constraints and late-time cosmic acceleration
• 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
• Hybrid metric-Palatini gravity
• Modified gravity with R-matter couplings and (non-)geodesic motion
• Inflationary cosmology and the late-time accelerated expansion of the universe in non-minimal Yang-Mills-$F(R)$ gravity and non-minimal vector-$F(R)$ gravity
• The matter Lagrangian and the energy-momentum tensor in modified gravity with non-minimal coupling between matter and geometry
• Thin accretion disks in f(R) modified gravity models
• Accelerated expansion from a non-minimal gravitational coupling to matter
• Cosmology of hybrid metric-Palatini f(X)-gravity
• Energy conditions in modified Gauss-Bonnet gravity
• On the non-minimal gravitational coupling to matter
• Galactic rotation curves in modified gravity with non-minimal coupling between matter and geometry
• Testing alternative theories of gravity using the Sun
• Palatini formulation of modified gravity with a nonminimal curvature-matter coupling
• Reheating via a generalized non-minimal coupling of curvature to matter
• Dark energy, inflation and dark matter from modified F(R) gravity
• Exact solutions of f(R) gravity coupled to nonlinear electrodynamics
• Hybrid modified gravity unifying local tests, galactic dynamics and late-time cosmic acceleration
• Recovering a MOND-like acceleration law in mimetic gravity
• Mimicking dark matter in galaxy clusters through a non-minimal gravitational coupling with matter
• Mimicking dark matter through a non-minimal gravitational coupling with matter
• The viability of theories with matter coupled to the Ricci scalar
• Decoupling gravitational sources by MGD approach in Rastall gravity
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• Modified Friedmann Equation from Nonminimally Coupled Theories of Gravity
• Solar System constraints to nonminimally coupled gravity
• The correspondence between a scalar field and an effective perfect fluid
• Quasi-cosmological Traversable Wormholes in $f(R)$ Gravity
• On the consistency of non-minimally coupled f(R) gravity
• Unveiling the Dynamics of the Universe
• Perturbation of the metric around a spherical body from a nonminimal coupling between matter and curvature
• Dark energy: investigation and modeling
• Generalised Ellis-Bronnikov Wormholes in $f(R)$ Gravity
• Unimodular $f(R,T)$ Gravity
• Energy Conditions in $f(G)$ Modified Gravity with Non-minimal Coupling to Matter
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• Five-dimensional generalized $f(R)$ gravity with curvature-matter coupling
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• Modified f(G) gravity models with curvature-matter coupling
• Early evolutionary tracks of low-mass stellar objects in modified gravity
• Merging matter and geometry in the same Lagrangian
• Dynamical analysis of nonminimal coupled theories
• Cosmological models with Yang-Mills fields
• A new shape function for wormholes in $f(R)$ gravity and General Relativity
• Hydrostatic equilibrium configurations of neutron stars in a non-minimal geometry-matter coupling theory of gravity
• The Layzer-Irvine equation in theories with non-minimal coupling between matter and curvature
• Nonminimally coupled Weyl gravity
• Jeans Instability in Non-Minimal Matter-Curvature Coupling Gravity
• Gravitational collapse in non-minimally coupled gravity: finite density singularities and the breaking of the no-hair theorem
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• A model independent parametrization of the late time cosmic acceleration: constraints on the parameters from recent observations
• Charged Compact Stars in Extended $f(\mathcal{R},\mathcal{G},\mathcal{T})$ Gravity
• The 1/c expansion of nonminimally coupled curvature-matter gravity model and constraints from planetary precession
• Black hole solutions of gravity theories with nonminimal coupling between matter and curvature
• Cassini and extra force constraints to nonminimally coupled gravity with screening mechanism
• Nonminimal global monopole
• Nuclear Limits on Non-Minimally Coupled Gravity
• Early and Late-time Cosmic Acceleration in Non-minimal Yang-Mills-$f(G)$ Gravity
• Motion of pole-dipole and quadrupole particles in non-minimally coupled theories of gravity
• Cosmological singularity theorems for $f(R)$ gravity theories
• Palatini $f(\mathcal{R},{\mathcal{L}}_m,{\mathcal{R}}_{\mu \nu }{T}^{\mu \nu })$ gravity and its Born-Infeld semblance
• Singularity problem in f(R) model with non-minimal coupling
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• Wormholes and Time-Machines in Nonminimally Coupled Matter-Curvature Theories of Gravity
• Observational constraints on generic models of non-minimal curvature-matter coupling
• Surface configuration in $R+{\mu }^4/R$ gravity
• A Nonminimal Coupling Model and its Short-Range Solar System Impact