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 (19)

• f(R,T) gravity
• 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
• Wormhole geometries supported by a nonminimal curvature-matter coupling
• Nonminimal curvature-matter coupled wormholes with matter satisfying the null energy condition
• 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
• On the non-minimal gravitational coupling to matter
• Galactic rotation curves in modified gravity with non-minimal coupling between matter and geometry
• 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
• The viability of theories with matter coupled to the Ricci scalar
• Non-minimal Maxwell-Modified Gauss-Bonnet Cosmologies: Inflation and Dark Energy
• Astrophysical constraints on unparticle-inspired models of gravity
• Early and Late-time Cosmic Acceleration in Non-minimal Yang-Mills-$f(G)$ Gravity