The viability of theories with matter coupled to the Ricci scalar

Abstract

Recently there has been a proposal for modified gravitational f(R) actions which include a direct coupling between the matter action and the Ricci scalar, R. Of particular interest is the specific case where both the action and the coupling are linear in R. It is shown that such an action leads to a theory of gravity which includes higher order derivatives of the matter fields without introducing more dynamics in the gravity sector and, therefore, cannot be a viable theory for gravitation.

typos corrected, published version

References in corpus (24)

• Extra force in $f(R)$ modified theories of gravity
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase
• Are f(R) dark energy models cosmologically viable ?
• Avoiding Dark Energy with 1/R Modifications of Gravity
• Metric-affine f(R) theories of gravity
• Matter instability in modified gravity
• Solar System tests DO rule out 1/R gravity
• de Sitter space and the equivalence between f(R) and scalar-tensor gravity
• The matter power spectrum in f(R) gravity
• The evolution of density perturbations in f(R) gravity
• Viability of f(R) Theories with Additional Powers of Curvature
• Do f(R) theories matter?
• A no-go theorem for polytropic spheres in Palatini f(R) gravity
• Power-laws f(R) theories are cosmologically unacceptable
• Curvature scalar instability in f(R) gravity
• Curvature singularities, tidal forces and the viability of Palatini f(R) gravity
• The Cauchy problem of f(R) gravity
• How (Not) to Palatini
• The evolution of cosmological gravitational waves in f(R) gravity
• The metric-affine formalism of f(R) gravity
• Comments on "Solar System constraints to general f(R) gravity"
• The significance of matter coupling in f(R) gravity

Cited by in corpus (24)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• f(R,T) gravity
• f(R,L_m) gravity
• Nonminimal coupling of perfect fluids to curvature
• Modified gravity with arbitrary coupling between matter and geometry
• Generalized curvature-matter couplings in modified gravity
• Nonminimal curvature-matter coupled wormholes with matter satisfying the null energy condition
• The matter Lagrangian and the energy-momentum tensor in modified gravity with non-minimal coupling between matter and geometry
• Bouncing Cosmologies in Palatini $f(R)$ Gravity
• Surface singularities in Eddington-inspired Born-Infeld 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
• Palatini formulation of modified gravity with a nonminimal curvature-matter coupling
• Initial and final de Sitter universes from modified $f(R)$ gravity
• Geodesic deviation, Raychaudhuri equation, and tidal forces in modified gravity with an arbitrary curvature-matter coupling
• Dynamical Aspects of Generalized Palatini Theories of Gravity
• Re-examination of Polytropic Spheres in Palatini f(R) Gravity
• Noncommutative geometry inspired black holes in Rastall gravity
• Gödel-type universes in Palatini f(R) gravity
• Future dynamics in f(R) theories
• Cassini and extra force constraints to nonminimally coupled gravity with screening mechanism
• Observational constraints on generic models of non-minimal curvature-matter coupling
• The ghost of vector fields in compact stars