Article

# On coincidence problem in ELKO dark energy model

(Impact Factor: 1.73). 09/2011; 44(9). DOI: 10.1007/s10714-012-1392-x
Source: arXiv

ABSTRACT We study the critical points of a universe dominated by Eigenspinoren des Ladungskonjugationsoperatorsin (ELKO) spinor field dark energy and a barotropic matter without considering a specific potential or interaction. The coincidence problem and attractor solutions are discussed at late time, and it is shown that the coincidence problem can not be solved in this model.

### Full-text

0 Followers
·
38 Views
• Source
##### Article: Aspects of the cosmological "coincidence problem"
[Hide abstract]
ABSTRACT: The observational fact that the present values of the densities of dark energy and dark matter are of the same order of magnitude, $\rho_{de0}/\rho_{dm0} \sim \mathcal{O}(1)$, seems to indicate that we are currently living in a very special period of the cosmic history. Within the standard model, a density ratio of the order of one just at the present epoch can be seen as coincidental since it requires very special initial conditions in the early Universe. The corresponding "why now" question constitutes the cosmological "coincidence problem". According to the standard model the equality $\rho_{de} = \rho_{dm}$ took place "recently" at a redshift $z \approx 0.55$. The meaning of "recently" is, however, parameter dependent. In terms of the cosmic time the situation looks different. We discuss several aspects of the "coincidence problem", also in its relation to the cosmological constant problem, to issues of structure formation and to cosmic age considerations.
European Physical Journal C 10/2014; 74(11). DOI:10.1140/epjc/s10052-014-3160-4 · 5.44 Impact Factor
• Source
##### Article: Elko and mass dimension one field of spin one-half: Causality and Fermi statistics
[Hide abstract]
ABSTRACT: We review how Elko arise as an extension of complex valued four-component Majorana spinors. This is followed by a discussion that constrains certain elements of phase freedom. A proof is reviewed that unambiguously establishes that Elko, and for that matter the indicated Majorana spinors, cannot satisfy Dirac equation. They, however do, as they must, satisfy spinorial Klein-Gordon equation. We then introduce a quantum field with Elko as its expansion coefficients and show that it is causal, satisfies Fermi statistics, and then refer to the existing literature to remind that its mass dimensionally is one. We conclude by providing an up-to-date bibliography on the subject.
International Journal of Modern Physics D 02/2015; 23(14). DOI:10.1142/S0218271814300262 · 1.42 Impact Factor
• Source
##### Article: Bilinear Covariants and Spinor Fields Duality in Quantum Clifford Algebras
[Hide abstract]
ABSTRACT: Classification of quantum spinor fields according to quantum bilinear covariants is introduced in a context of quantum Clifford algebras on Minkowski spacetime. Once the bilinear covariants are expressed in terms of algebraic spinor fields, the duality between spinor and quantum spinor fields is thus discussed. Hence, by endowing the underlying spacetime with an arbitrary bilinear form with a antisymmetric part in addition to a symmetric spacetime metric, quantum algebraic spinor fields and deformed bilinear covariants can be constructed. They are therefore compared to the classical (non quantum) ones. Classes of quantum spinor fields are introduced and compared with Lounesto's spinor field classification. A physical interpretation of the deformed parts and the underlying Z-grading is proposed. The existence of an arbitrary bilinear form endowing the spacetime already has been explored in the literature in the context of quantum gravity. Here, it is shown further to play a prominent role in the structure of Dirac, Weyl, and Majorana spinor fields, besides the most general flagpoles, dipoles and flag-dipoles ones as well. We introduce a new duality between the standard and the quantum spinor fields, by showing that when Clifford algebras over vector spaces endowed with an arbitrary bilinear form are taken into account, a mixture among the classes does occur. Consequently, novel features regarding the spinor fields can be derived.
Journal of Mathematical Physics 10/2014; 55:103501. DOI:10.1063/1.4896395 · 1.18 Impact Factor