Unified Dark Energy and Dust Dark Matter Dual to Quadratic Purely Kinetic K-Essence

Abstract

We consider a modified gravity plus single-scalar-field model, where the scalar Lagrangian couples symmetrically both to the standard Riemannian volume-form (spacetime integration measure density) given by the square-root of the determinant of the Riemannian metric, as well as to another non-Riemannian volume-form in terms of an auxiliary maximal-rank antisymmetric tensor gauge field. As shown in a previous paper, the pertinent scalar field dynamics provides an exact unified description of both dark energy via dynamical generation of a cosmological constant, and dark matter as a "dust" fluid with geodesic flow as a result of a hidden Noether symmetry. Here we extend the discussion by considering a non-trivial modification of the purely gravitational action in the form of f(R) = R - αR^2 generalized gravity. Upon deriving the corresponding "Einstein-frame" effective action of the latter modified gravity-scalar-field theory we find explicit duality (in the sense of weak versus strong coupling) between the original model of unified dynamical dark energy and dust fluid dark matter, on one hand, and a specific quadratic purely kinetic "k-essence" gravity-matter model with special dependence of its coupling constants on only two independent parameters, on the other hand. The canonical Hamiltonian treatment and Wheeler-DeWitt quantization of the dual purely kinetic "k-essence" gravity-matter model is also briefly discussed.

11 pages two-column style; v.2 few explanatory paragraphs and references added, 12 pages, to appear in "European Physical Journal C"

References in corpus (10)

• Dark Energy and the Accelerating Universe
• Dark Matter: A Primer
• Kinetic k-essence and Quintessence
• Dark energy from modified gravity with Lagrange multipliers
• Unified Dark Matter in Scalar Field Cosmologies
• Unified Dark Matter Scalar Field Models
• Emergent Cosmology, Inflation and Dark Energy
• Cosmological tachyon condensation
• Scale Symmetry Breaking From Total Derivative Densities and the Cosmological Constant Problem
• Chaplygin Gas Cosmology - Unification of Dark Matter and Dark Energy

Cited by in corpus (33)

• Mimetic gravity: a review of recent developments and applications to cosmology and astrophysics
• Covariant Horava-like and mimetic Horndeski gravity: cosmological solutions and perturbations
• Cosmological dynamics of mimetic gravity
• Recovering a MOND-like acceleration law in mimetic gravity
• Interacting Diffusive Unified Dark Energy and Dark Matter from Scalar Fields
• Unified Dark Energy and Dark Matter from Dynamical Space Time
• Unification of DE-DM from Diffusive Cosmology
• Gravity-Assisted Emergent Higgs Mechanism in the Post-Inflationary Epoch
• Dark energy and dark matter unification from dynamical space time: observational constraints and cosmological implications
• Dynamical Systems Analysis of K-essence Model
• Non-Canonical Volume-Form Formulation of Modified Gravity Theories and Cosmology
• Imprints of interacting dark energy on cosmological perturbations
• Thermodynamics and phase transitions of galactic clustering in higher-order Modified Gravity
• A transition between bouncing hyper-inflation to ΛCDM from diffusive scalar fields
• Cosmological aspects of a unified dark energy and dust dark matter model
• Dynamically Generated Inflation from Non-Riemannian Volume Forms
• Quintessential Inflation with Dynamical Higgs Generation as an Affine Gravity
• K-essence and kinetic gravity braiding models in two-field measure theory
• Dynamically Generated Inflationary Lambda-CDM
• Radiation Like Scalar Field and Gauge Fields in Cosmology for a theory with Dynamical Time
• A PAge-like Unified Dark Fluid Model
• Dynamically generated inflationary two-field potential via non-Riemannian volume forms
• $\Lambda$CDM as a Noether Symmetry in Cosmology
• Cosmology from multimeasure multifield model
• A Viable Dark Fluid Model
• Thawing k-essence dark energy in the PAge space
• Global asymptotic dynamics of the cubic galileon interacting with dark matter
• A Kaluza-Klein Inspired Brans-Dicke Gravity with Dark Matter and Dark Energy Model
• Thermodynamics of a Non-canonical $f(\bar{R},\bar{T})$ gravity
• Cosmological solutions from models with unified dark energy and dark matter and with inflaton field
• Physical Implications and Updated Observational Constraints of the PAge-like Unified Dark Fluid Model
• Geometric formulation of $k$-essence and late-time acceleration
• Perturbations and stability conditions of k-essence and kinetic gravity braiding models in two-field measure theory