On the non-minimal gravitational coupling to matter

Abstract

The connection between $f(R)$ theories of gravity and scalar-tensor models with a "physical" metric coupled to the scalar field is well known. In this work, we pursue the equivalence between a suitable scalar theory and a model that generalises the $f(R)$ scenario, encompassing both a non-trivial scalar curvature term and a non-minimum coupling of the scalar curvature and matter. This equivalence allows for the calculation of the PPN parameters $\beta$ and $\gamma$ and, eventually, a solution to the debate concerning the weak-field limit of $f(R)$ theories.

11 pages

References in corpus (12)

• 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
• Nonminimal coupling of perfect fluids to curvature
• The Newtonian Limit of F(R) gravity
• Dark matter as a geometric effect in f(R) gravity
• The (pseudo)issue of the conformal frame revisited
• A viability criterion for modified gravity with an extra force
• Do f(R) theories matter?
• WMAP5 constraints on the unified model of dark energy and dark matter
• Comments on "Solar System constraints to general f(R) gravity"
• Solar system tests of scalar field models with an exponential potential

Cited by in corpus (3)

• Initial and final de Sitter universes from modified $f(R)$ gravity
• Gödel-type universes in f(R) gravity
• From Dark Energy to Dark Matter via Non-Minimal Coupling