Elko Spinor Model With Torsion and Cosmology

Kouwn, Seyen; Lee, Joohan; Oh, Phillial; Lee, Tae Hoon

doi:10.1142/s0217732313501216

Cited by 17 publications

(23 citation statements)

References 65 publications

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“…In order to use the Elko field as the matter content in the universe, we will work with its classical formulation, or in terms of average values of its quantum field in a classical background. Also, in a curved homogeneous and isotropic space-time we assume that the Elko field is filling all the space homogeneously [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32], thus we can assume that it can be split into a time dependent part and a flat space-time dependent part, which carries all the spinor structure, namely, λ(x µ ) = φ(t)ξ(x), such that ξ stands here, for simplicity, for one of the four kinds of Elko discussed above, normalized as ¬ ξ ξ = ±1. A convenient choice for the bare spinor ξ and its dual ¬ ξ is:…”

Section: Elko Dynamics In Frwmentioning

confidence: 99%

“…Appendix A contain a brief derivation of the main equations. The action for the Elko field coupled to gravity in a homogeneous and isotropic metric has been already presented in the literature [16,17,20,[27][28][29][30][31][32], for both torsion free and torsion coupled equations. The Friedmann equations are given by:…”

Section: Elko Dynamics In Frwmentioning

confidence: 99%

“…Moreover, as neutral fields, they are good and natural candidate to particles of dark matter in the universe, an open problem in cosmology. Models in which the Elko field is considered as candidate to dark matter or dark energy in the universe have been proposed recently [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32]. In the present work we are interested in the Elko field as a possible candidate to drive inflation, following a matter dominated era and finishing as the responsible for the recent cosmic acceleration of the universe.…”

Section: Introductionmentioning

confidence: 99%

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From inflation to recent cosmic acceleration: the fermionic Elko field driving the evolution of the universe

Pereira

Guimarães

2017

J. Cosmol. Astropart. Phys.

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In this paper we construct the complete evolution of the universe driven by the mass dimension one dark spinor called Elko, starting with inflation, passing by the matter dominated era and finishing with the recent accelerated expansion. The dynamic of the fermionic Elko field with a symmetry breaking type potential can reproduce all phases of the universe in a natural and elegant way. The dynamical equations in general case and slow roll conditions in the limit H ≪ m pl are also presented for the Elko system. Numerical analysis for the number of e-foldings during inflation, energy density after inflation and for present time and also the actual size of the universe are in good agreement with the standard model of cosmology. An interpretation of the inflationary phase as a result of Pauli exclusion principle is also possible if the Elko field is treated as an average value of its quantum analogue.

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Section: Elko Dynamics In Frwmentioning

confidence: 99%

Section: Elko Dynamics In Frwmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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From inflation to recent cosmic acceleration: the fermionic Elko field driving the evolution of the universe

Pereira

Guimarães

2017

J. Cosmol. Astropart. Phys.

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“…Such kind of potential follows naturally from the theory of mass dimension one fermions [7]. In a flat Friedmann-Robertson-Walker (FRW) metric ds 2 = dt 2 − a(t) 2 [dx 2 + dy 2 + dz 2 ], the two Friedmann equations and the dynamic field equation for the time component φ(t) of the Elko field 3 plus a ordinary 3 We will refer to φ(t) as Elko field from now on, but the com-matter i can be obtained [18,22]:…”

Section: Dynamic Equations For Elko Fieldmentioning

confidence: 99%

Evolution of the universe driven by a mass-dimension-one fermion field

Pereira

Holanda

Souza

2017

EPL

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This paper study the evolution of the universe filled with a neutral mass dimension one fermionic field, sometimes called Elko. The numerical analysis of the coupled system of equations furnish a scale factor growth and energy density evolution that correctly reproduces the inflationary phase of the universe. After that, supposing a mechanism of energy transference to ordinary matter, the initial conditions generated after inflation drives the radiation dominated phase and also the subsequent dark matter evolution, since the Elko field is a good dark matter candidate. The energy density of the field at the end of inflation, at the end of radiation phase and for present time are in agreement to the standard model estimates. The analysis was performed with a potential containing a quadratic mass term plus a quartic self-interaction term, which follows naturally from the theory of mass dimension one fermions. It is interesting to notice that inflation occurs when the field makes a kind of transition around the Planck mass scale. The number of e-foldings during inflation was found to be strongly dependent on the initial conditions of the Elko field, as occurs in chaotic inflationary models. An upper mass limit for Elko field has been obtained as m < 10 9 GeV. A possible interpretation of both inflationary phase and recent cosmic acceleration as a consequence of a kind of Pauli exclusion principle is presented at the end.

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“…For the MDO fermionic field we have used just one of the four different fields represented by Λ, satisfying Λ = φ(t)λ, where λ represents the fermionic field in a Minkowski space-time which is normalized as ¬ λ λ = 1, and φ(t) carries its time evolution in a Friedmann-Lemaître-Robertson-Walker (FLRW) background [11][12][13][14][16][17][18][19][20][21][22][23].…”

Section: Dynamic Equations For the Mdo Fermionic Fieldmentioning

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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Elko Spinor Model With Torsion and Cosmology

Cited by 17 publications

References 65 publications

From inflation to recent cosmic acceleration: the fermionic Elko field driving the evolution of the universe

From inflation to recent cosmic acceleration: the fermionic Elko field driving the evolution of the universe

Evolution of the universe driven by a mass-dimension-one fermion field

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

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