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Interacting Dark Energy: Dynamical System Analysis

General Relativity and Quantum Cosmology · Submitted 17 May 2016

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We find an upper bound for the value of the coupling constant of the interaction between dark matter and dark energy as b < 0.57 in the case of holographic model, and b < 0.61 in the case of ghost dark energy model, to result in a cosmological viable matter dominated epoch.

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arXiv ID1605.05068 (version 2)
Pith ID7R5RQ2IG, Pith's permanent record of this paper and its review
CitationEsmaeil Ebrahimi, Hanif Golchin, Sara Jamali. "Interacting Dark Energy: Dynamical System Analysis." arXiv:1605.05068 (2016). https://pith.science/paper/7R5RQ2IG
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 5,607 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.68 · human participants 0.01 · controlled comparison 0.08 · randomized assignment 0.01 · states quantitative result 0.98 · compares with prior results 0.15 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

We investigate the impacts of interaction between dark matter and dark energy in the context of two dark energy models, holographic and ghost dark energy. In fact, using the dynamical system analysis, we obtain the cosmological consequence of several interactions, considering all relevant component of universe, i.e. matter (Dark and luminous), radiation and dark energy. Studying the phase space for all interactions in detail, we show the existence of unstable matter dominated and stable dark energy dominated phases. We also show that linear interactions suffer from the absence of standard radiation dominated epoch. Interestingly, this failure resolved by adding the non-linear interactions to the models. We find an upper bound for the value of the coupling constant of the interaction between dark matter and dark energy as b < 0.57 in the case of holographic model, and b < 0.61 in the case of ghost dark energy model, to result in a cosmological viable matter dominated epoch. More specifically, this bound is vital to satisfy instability and deceleration of matter dominated epoch.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We investigate the impacts of interaction between dark matter and dark energy in the context of two dark energy models, holographic and ghost dark energy. contribution 0.95 0.91 0.05 asserted 0.74
s1 In fact, using the dynamical system analysis, we obtain the cosmological consequence of several interactions, considering all relevant component of universe, i.e. matter (Dark and luminous), radiation and dark energy. method 0.72 0.93 0.07 asserted 1.00
s2 Studying the phase space for all interactions in detail, we show the existence of unstable matter dominated and stable dark energy dominated phases. result 0.99 0.95 0.18 asserted 1.00
s3 We also show that linear interactions suffer from the absence of standard radiation dominated epoch. result 0.97 0.86 0.10 asserted 1.00
s4 Interestingly, this failure resolved by adding the non-linear interactions to the models. result 0.90 0.76 0.10 asserted 1.00
s5 We find an upper bound for the value of the coupling constant of the interaction between dark matter and dark energy as b < 0.57 in the case of holographic model, and b < 0.61 in the case of ghost dark energy model, to result in a cosmological viable matter dominated epoch. result 1.00 0.96 0.58 asserted 1.00
s6 More specifically, this bound is vital to satisfy instability and deceleration of matter dominated epoch. interpretation 0.87 0.82 0.17 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.95 · evidence from proof or derivation 0.82.

What was examined, and what was not

sources read
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not examined
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  • figures and tables
  • references and citing sentences
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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

We investigate the impacts of interaction between dark matter and dark energy in the context of two dark energy models, holographic and ghost dark energy. In fact, using the dynamical system analysis, we obtain the cosmological consequence of several interactions, considering all relevant component of universe, i.e. matter (Dark and luminous), radiation and dark energy. Studying the phase space for all interactions in detail, we show the existence of unstable matter dominated and stable dark energy dominated phases. We also show that linear interactions suffer from the absence of standard radiation dominated epoch. Interestingly, this failure resolved by adding the non-linear interactions to the models. We find an upper bound for the value of the coupling constant of the interaction between dark matter and dark energy as b < 0.57 in the case of holographic model, and b < 0.61 in the case of ghost dark energy model, to result in a cosmological viable matter dominated epoch. More specifically, this bound is vital to satisfy instability and deceleration of matter dominated epoch.

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References
How the literature uses it

2 arXiv papers cite this in 4 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 2 sentences without a confident label

Compares with it 1 paper
  • It is worth to mention that in [ref] the interacting GDE(with $Q=3b^2H(ρ_D+ρ_m)$) in standard cosmology does not admit a radiation dominated epoch while in Barrow cosmology this point is present.

    Ghost Dark Energy in Tsallis and Barrow Cosmology · Dynamical system analysis of Barrow cosmology · 1.00

What it cites · 3 sentences without a confident label

Compares with 1 paper
Cites as support 1 paper
  • In fact considering the value of energy scale in QCD as $Λ_QCD∼100 MeV$ and $H ∼10^-33eV$, The GDE model alleviates the fine tuning problem [ref] .

    Dark Energy and QCD Ghost · Introduction · 0.96

Cites as background 2 papers

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