On coincidence problem in ELKO dark energy model

Sadjadi, H. Mohseni

doi:10.1007/s10714-012-1392-x

Cited by 30 publications

(35 citation statements)

References 36 publications

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“…Since recent works [65][66][67][68] have not found stable points for such system for different dynamic variables and interactions terms, we are led to believe (without demonstration) that the system ELKO-DM does not allow stable points. Based on these results, we have supposed there to be an additional constraint to the dynamical system, namely that the potential of the ELKO field is related to a constant parameter δ; then we have analyzed the stability conditions for such a new system.…”

Section: Discussionmentioning

confidence: 89%

“…Such a search for adequate variables depends in general on the structure of the physical quantities involved, like the energy density, pressure and Friedmann constraints. In some recent works [65][66][67], different choices of variables for interacting systems concerning the ELKO field have shown that there are no stable points in order to explain the cosmic coincidence problem. In [68] a new method of analysis was proposed, based on a constant parameter that leads to stable points under some conditions.…”

Section: Introductionmentioning

confidence: 99%

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A new approach on the stability analysis in ELKO cosmology

2015

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In this work it has been developed a new approach to study the stability of a system composed by an ELKO field interacting with dark matter, which could give some contribution in order to alleviate the cosmic coincidence problem. It is assumed that the potential which characterizes the ELKO field is not specified, but it is related to a constant parameter δ. The strength of the interaction between matter and ELKO field is characterized by a constant parameter β and it is also assumed that both ELKO field and matter energy density are related to their pressures by equations of state parameters ω φ and ω m , respectively. The system of equations is analyzed by a dynamical system approach. It has been found the conditions of stability between the parameters δ and β in order to have stable fixed points for the system for different values of the equation of state parameters ω φ and ω m , and the results are presented in form of tables. The possibility of decay of the ELKO field into dark matter or vice versa can be read directly from the tables, since the parameters δ and β satisfy some inequalities. It allows us to constrain the potential assuming that we have a stable system for different interactions terms between the ELKO field and dark matter. The cosmic coincidence problem can be alleviated for some specific relations between the parameters of the model.

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Section: Discussionmentioning

confidence: 89%

Section: Introductionmentioning

confidence: 99%

A new approach on the stability analysis in ELKO cosmology

2015

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“…[3]. These formulations boosted several works in a broad range of areas, for instance mathematical physics [4][5][6][7][8][9][10], phenomenology of particles [11][12][13][14][15][16] and cosmology [17][18][19][20][21][22][23][24][25][26][27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

Mass-dimension-one fermions and their gravitational interaction

Rogerio

Lima

Duarte

et al. 2019

EPL

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“…Several cosmological applications of this new field have been done, first in torsion free frameworks [10][11][12][13][14][15][16][17][18][19] and more recently considering its coupling to torsion [20][21][22][23] in an Einstein-Cartan framework, which turns the system of equations richer than the previous case, especially for inflationary applications. In particular, in Refs.…”

Section: Introductionmentioning

confidence: 99%

An unified cosmological evolution driven by a mass dimension one fermionic field

2019

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An unified cosmological model for an Universe filled with a mass dimension one (MDO) fermionic field plus the standard matter fields is considered. After a primordial quantum fluctuation the field slowly rolls down to the bottom of a symmetry breaking potential, driving the Universe to an inflationary regime that increases the scale factor for about 71 e-folds. After the end of inflation, the field starts to oscillate and can transfer its energy to the standard model particles through a reheating mechanism. Such a process is briefly discussed in terms of the admissible couplings of the MDO field with the electromagnetic and Higgs fields. We show that even if the field loses all its kinetic energy during reheating, it can evolve as dark matter due a gravitational coupling (of spinorial origin) with baryonic matter. Since the field acquires a constant value at the bottom of the potential, a non-null, although tiny, mass term acts as a dark energy component nowadays.Therefore, we conclude that MDO fermionic field is a good candidate to drive the whole evolution of the Universe, in such a way that the inflationary field, dark matter and dark energy are described by different manifestations of a single field.

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On coincidence problem in ELKO dark energy model

Cited by 30 publications

References 36 publications

A new approach on the stability analysis in ELKO cosmology

A new approach on the stability analysis in ELKO cosmology

Mass-dimension-one fermions and their gravitational interaction

An unified cosmological evolution driven by a mass dimension one fermionic field

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