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

References in corpus (6)

• Extra force in $f(R)$ modified theories of gravity
• Conditions for the cosmological viability of f(R) dark energy models
• Dark Energy-Dark Matter Interaction and putative violation of the Equivalence Principle from the Abell Cluster A586
• The Newtonian Limit of F(R) gravity
• Static spherically symmetric perfect fluid solutions in $f(R)$ theories of gravity
• Spherically symmetric spacetimes in f(R) gravity theories

Cited by in corpus (8)

• Nonminimal coupling of perfect fluids to curvature
• Modified gravity with arbitrary coupling between matter and geometry
• 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
• Thin accretion disks in f(R) modified gravity models
• On the non-minimal gravitational coupling to matter
• Dark energy, inflation and dark matter from modified F(R) gravity
• The viability of theories with matter coupled to the Ricci scalar
• Astrophysical constraints on unparticle-inspired models of gravity