Induced Gravity and the Attractor Dynamics of Dark Energy/Dark Matter

Abstract

Attractor solutions that give dynamical reasons for dark energy to act like the cosmological constant, or behavior close to it, are interesting possibilities to explain cosmic acceleration. Coupling the scalar field to matter or to gravity enlarges the dynamical behavior; we consider both couplings together, which can ameliorate some problems for each individually. Such theories have also been proposed in a Higgs-like fashion to induce gravity and unify dark energy and dark matter origins. We explore restrictions on such theories due to their dynamical behavior compared to observations of the cosmic expansion. Quartic potentials in particular have viable stability properties and asymptotically approach general relativity.

11 pages, 10 figures, accepted in JCAP, results unchanged, an explanation added on perfect fluids for general spinor Lagrangians

References in corpus (9)

• Dynamics of dark energy
• Spectra and Light Curves of Six Type Ia Supernovae at 0.511 < z < 1.12 and the Union2 Compilation
• Coupled and Extended Quintessence: theoretical differences and structure formation
• Constraining Interactions in Cosmology's Dark Sector
• Inflation, dark matter and dark energy in the string landscape
• Dark Energy, Induced Gravity and Broken Scale Invariance
• Late universe dynamics with scale-independent linear couplings in the dark sector
• Slow-Roll Suppression of Adiabatic Instabilities in Coupled Scalar Field-Dark Matter Models
• Dark Before Light: Testing the Cosmic Expansion History through the Cosmic Microwave Background

Cited by in corpus (11)

• Dynamical systems applied to cosmology: dark energy and modified gravity
• Reconstruction of the Dark Energy equation of state
• Testing the phenomenological interacting dark energy with observational $H(z)$ data
• Cosmological observational constraints on the power law $f(Q)$ type modified gravity theory
• Cosmological phase space analysis of the F (X) - V (phi) scalar field and bouncing solutions
• Renormalization-group inflationary scalar electrodynamics and SU(5) scenarios confronted with Planck2013 and BICEP2 results
• Global stability analysis for cosmological models with non-minimally coupled scalar fields
• The Axiverse Extended: Vacuum Destabilisation, Early Dark Energy and Cosmological Collapse
• Reconstruction of Scalar Potentials in Modified Gravity Models
• Reconstruction of Scalar Potentials in Induced Gravity and Cosmology
• Stability analysis and Observational Measurement in Chameleonic Generalised Brans--Dicke Cosmology