Dark matter, dark energy, and dark radiation coupled with a transversal interaction

2012/10/19 by Luis P. Chimento, Martín G. Richarte · 8 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology #Cosmology and Gravitation Theories #Dark energy #Dark matter #Dark radiation #Energy (signal processing) #Galaxies: Formation, Evolution, Phenomena #Mathematical analysis #Mathematical physics #Omega #Order (exchange) #Particle physics #Physics #Planck #Quantum mechanics #Transversal (combinatorics) #gr-qc

paper · pdf · doi:10.1103/physrevd.86.103501

published as Phys. Rev. D 86, 103501 (2012) · 9 pages, 4 figures. Accepted for publication in Physical Review D

arxiv created 2012/10/19 · openalex publication_date 2012/11/01 · arxiv updated 2013/04/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We investigate a cosmological scenario with three interacting components that includes dark matter, dark energy, and radiation in the spatially flat Friedmann-Robertson-Walker universe. We introduce a 3-dimensional internal space, the interaction vector Q=(Q_x,Q_m,Q_r) satisfying the constraint plane Q_x+Q_m+Q_r=0, the barotropic index vector \mathbit\ensuremathγ=(\ensuremathγ_x,\ensuremathγ_m,\ensuremathγ_r) and select a transversal interaction vector Q_t in a sense that Q_t\ifmmode⋅\else\textperiodcentered\fi\mathbit\ensuremathγ=0. We exactly solve the source equation for a linear Q_t, that depends on the total energy density and its derivatives up to third order, and find all the component energy densities. We obtain a large set of interactions for which the source equation admits a power law solution and show its asymptotic stability by constructing the Lyapunov function. We apply the \ensuremathχ² method to the observational Hubble data for constraining the cosmic parameters, and analyze the amount of dark energy in the radiation era for the above linear Q_t. It turns to be that our model fulfills the severe bound of \ensuremathΩ_x(z\ensuremath≃1100)<0.1 and is consistent with the future constraints achievable by Planck and CMBPol experiments.

Citations

• Linear and nonlinear interactions in the dark sector
• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• A direct empirical proof of the existence of dark matter
• Limits on dark radiation, early dark energy, and relativistic degrees of freedom
• Revealing the Properties of Dark Matter in the Merging Cluster MACS J0025.4−1222
• Three‐YearWilkinson Microwave Anisotropy Probe(WMAP) Observations: Implications for Cosmology

Cited by

• Modified holographic Ricci dark energy coupled to interacting dark matter and a non-interacting baryonic component
• Interacting realization of cosmological singularities with variable vacuum energy
• Dark radiation and dark matter coupled to holographic Ricci dark energy
• Nonbaryonic dark matter and scalar field coupled with a transversal interaction plus decoupled radiation
• The frozen vanilla model: Exploring dark sector interactions with delta effective theories
• Dark matter interacts with variable vacuum energy
• Dark radiation from a unified dark fluid model
• An interacting holographic dark energy model within an induced gravity brane

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• Interaction of polytropic dark energy in cosmological model: Constraints from observational data