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Recently we have constructed the conformal gravity with metric and torsion, finding the gravitational field equations that give the conservation laws and trace condition; in the present paper we apply this theory to the case of ELKO matter…

General Relativity and Quantum Cosmology · Physics 2014-04-11 Luca Fabbri

The eigenspinor approach uses the classical amplitude of the algebraic Lorentz rotation connecting the lab and rest frames to study the relativistic motion of particles. It suggests a simple covariant extension of the common definition of…

Classical Physics · Physics 2007-05-23 William E. Baylis

Recently, the so-called Elko spinor field has been proposed to be a candidate of dark energy. It is a non-standard spinor and has unusual properties. When the Elko spinor field is used in cosmology, its unusual properties could bring some…

General Relativity and Quantum Cosmology · Physics 2010-12-21 Hao Wei

In this work the exact Friedmann-Robertson-Walker equations for an Elko spinor field coupled to gravity in an Einstein-Cartan framework are presented. The torsion functions coupling the Elko field spin-connection to gravity can be exactly…

General Relativity and Quantum Cosmology · Physics 2017-09-13 S. H. Pereira , S. S. A. Pinho , J. M. Hoff da Silva , J. F. Jesus

In this paper we recall that by construction Elko spinor fields of {\lambda} and {\rho} types satisfy a coupled system of first order partial differential equations (csfopde) that once interacted leads to Klein-Gordon equations for the…

Mathematical Physics · Physics 2013-11-19 E. Capelas de Oliveira , W. A. Rodrigues , J. Vaz

The quantum field operator for spin-half Elko describes a massive self-interacting fermionic dark matter candidate of mass dimension one. It has been shown that the theory has a built-in violation of the Lorentz symmetry and a well-defined…

High Energy Physics - Theory · Physics 2015-02-19 Cheng-Yang Lee

A self-contained review on spin-half mass dimension one fermions and their higher-spin generalizations is presented. Starting from the two-component left-handed Weyl spinors, the Dirac spinors and Elko (eigenspinors of the charge…

High Energy Physics - Theory · Physics 2020-10-28 Cheng-Yang Lee

In this paper, the recently-introduced ELKO and the well-known Dirac spinor fields will be compared; however, instead of comparing them under the point of view of their algebraic properties or their dynamical features, we will proceed by…

General Relativity and Quantum Cosmology · Physics 2014-09-12 Luca Fabbri , Stefano Vignolo

This paper aims to investigate the localization of the five-dimensional spinor field known as Elko (dual-helicity eigenspinors of the charge conjugation operator) by employing a Yukawa-like geometrical coupling in which the Elko field is…

General Relativity and Quantum Cosmology · Physics 2023-06-21 F. M. Belchior , A. R. P. Moreira , R. V. Maluf , C. A. S. Almeida

The present paper analyses the Einstein-Cartan theory of gravitation with Elko spinors as sources of curvature and torsion. After minimally coupling the Elko spinors to torsion, the spin angular momentum tensor is derived and its structure…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Christian G. Boehmer

We analyse the trapping of eigenspinors of the charge conjugation operator with dual helicity (Elko), in thin and thick string-like models with codimension-2. Elko spinor fields describe mass dimension one fermions in four dimensions (and,…

High Energy Physics - Theory · Physics 2017-05-17 D. M. Dantas , Roldao da Rocha , C. A. S. Almeida

The models of spin systems defined on Euclidean space provide powerful machinery for studying a broad range of condensed matter phenomena. While the non-relativistic effective description is sufficient for most of the applications, it is…

High Energy Physics - Theory · Physics 2020-12-29 Danilo Artigas , Jakub Bilski , Sean Crowe , Jakub Mielczarek , Tomasz Trześniewski

This thesis studies the symmetries and phenomenologies of the massive vector fields of indefinite spin with both scalar and spin-one degrees of freedom and Elko. The investigation is conducted by using and extending the quantum field theory…

High Energy Physics - Theory · Physics 2013-06-26 Cheng-Yang Lee

In the present essay we review the underlying physical information behind the first concrete example describing a mass dimension one fermion - namely Elko spinors. We start the program exploring the physical information by evaluating the…

High Energy Physics - Theory · Physics 2019-11-22 R. J. Bueno Rogerio , C. H. Coronado Villalobos , D. Beghetto , A. R. Aguirre

We investigate the cosmological implications of a new class of modified gravity, where the field equations generically include higher-order derivatives of the matter fields, arising from the introduction of non-dynamical auxiliary fields in…

General Relativity and Quantum Cosmology · Physics 2016-07-01 Tiberiu Harko , Francisco S. N. Lobo , Emmanuel N. Saridakis

A new noncommutative spacetime of structure $ {\cal M}^4 \times Z_2 \times Z_2$ is proposed. The generalized Hilbert-Einstein action contains gravity, all known interactions and Higgs field. This theory can also provide a unified geometric…

General Relativity and Quantum Cosmology · Physics 2015-10-07 Viet Ai Nguyen

Dual-helicity eigenspinors of the charge conjugation operator (ELKO spinor fields) belong -- together with Majorana spinor fields -- to a wider class of spinor fields, the so-called flagpole spinor fields, corresponding to the class-(5),…

Mathematical Physics · Physics 2009-06-03 Roldao da Rocha , J. M. Hoff da Silva

We consider cosmology in the Einstein-aether theory (the generally covariant theory of gravitation coupled to a dynamical timelike Lorentz-violating vector field) with a linear aether-Lagrangian. The 3+1 spacetime splitting approach is used…

Astrophysics · Physics 2008-11-26 Baojiu Li , David F. Mota , John D. Barrow

In this paper, we provide a set of Hermitian interactions for quantum fields based on Elko, considering the recent achievements concerning the most general form of singular spinors and Wigner degeneracy. We consider Hermiticity and…

High Energy Physics - Phenomenology · Physics 2024-12-23 G. B. de Gracia , Roldão da Rocha , R. J. Bueno Rogerio , Cheng-Yang Lee

General classical theories of material fields in an arbitrary Riemann-Cartan space are considered. For these theories, with the help of equations of balance, new non-trivially generalized, manifestly generally covariant expressions for…

General Relativity and Quantum Cosmology · Physics 2014-03-10 Robert R. Lompay