Modified Friedmann Equation from Nonminimally Coupled Theories of Gravity

Abstract

In this work we study how nonminimally coupled theories of gravity modify the usual Friedmann equation, and develop two methods to treat these. The ambiguity in the form of the Lagrangian density of a perfect fluid is emphasized, and the impact of different dominant matter species is assessed. The Cosmological Constant problem is also discussed.

12 pages

References in corpus (15)

• Extra force in $f(R)$ modified theories of gravity
• Low surface brightness galaxies rotation curves in the low energy limit of $R^n$ gravity : no need for dark matter?
• Solar System constraints to general f(R) gravity
• Nonminimal coupling of perfect fluids to curvature
• The Newtonian Limit of F(R) gravity
• Nonminimal curvature-matter coupled wormholes with matter satisfying the null energy condition
• Reconstruction of the deceleration parameter and the equation of state of dark energy
• Loop cosmological dynamics and dualities with Randall-Sundrum braneworlds
• Do f(R) theories matter?
• On the non-minimal gravitational coupling to matter
• Reheating via a generalized non-minimal coupling of curvature to matter
• Various Hamiltonian formulations of f(R) gravity and their canonical relationships
• Covariant Effective Action for Loop Quantum Cosmology from Order Reduction
• Gravitational Leptogenesis
• Gravitational collapse in non-minimally coupled gravity: finite density singularities and the breaking of the no-hair theorem

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• Cosmological and lunar laser ranging constraints on evolving dark energy in a nonminimally coupled curvature-matter gravity model