Attractor behaviour in ELKO cosmology

Basak, Abhishek; Bhatt, Jitesh R.; Shankaranarayanan, S.; Varma, K.V. Prasantha

doi:10.1088/1475-7516/2013/04/025

Cited by 37 publications

(56 citation statements)

References 48 publications

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“…These correspond to slow and fast-roll inflation. The latter being unique to Elko [68]. For earlier contribution to Elko cosmology from this group we refer to the reader to references [69,70].…”

Section: Locality Structure Of the New Fieldmentioning

confidence: 98%

The Theory of Local Mass Dimension One Fermions of Spin One Half

Ahluwalia

2017

Adv. Appl. Clifford Algebras

173

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Abstract. About a decade ago the present author in collaboration with Daniel Grumiller presented an 'unexpected theoretical discovery' of spin one-half fermions with mass dimension one [1,2]. In the decade that followed a significant number of groups explored intriguing mathematical and physical properties of the new construct. However, the formalism suffered from two troubling features, that of non-locality and a subtle violation of Lorentz symmetry. Here, we trace the origin of both of these issues to a hidden freedom in the definition of duals of spinors and the associated field adjoints. In the process, for the first time, we provide a quantum theory of spin one-half fermions that is free from all the mentioned issues. The interactions of the new fermions are restricted to dimension-four quartic self interaction, and also to a dimensionfour coupling with the Higgs. A generalised Yukawa coupling of the new fermions with neutrinos provides an hitherto unsuspected source of lepton-number violation. The new fermions thus present a first-principle dark matter partner to Dirac fermions of the standard model of high energy physics with contrasting mass dimensions -that of three halves for the latter versus one of the former without mutating the statistics from fermionic to bosonic.

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Section: Locality Structure Of the New Fieldmentioning

confidence: 98%

The Theory of Local Mass Dimension One Fermions of Spin One Half

Ahluwalia

2017

Adv. Appl. Clifford Algebras

173

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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%

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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“…Elko spinor fields have been investigated in the last decade [8][9][10][11][12][13][14][15][16][17][18] and has been further applied to gravity, cosmology, and field theory. [8][9][10][11][12][13][14][15][16][17][18] We recall that its starting point, in Ref.…”

Section: Dark Mattermentioning

confidence: 99%