2014/07/31 by A. Pinho S. S., A. P. dos Santos Souza, S. H. Pereira +1 · 1 citation
Mathematics · Physics and Astronomy · #Coincidence #Cosmology #Cosmology and Gravitation Theories #Dark Matter and Cosmic Phenomena #Dark energy #Dark matter #Equation of state #Field (mathematics) #Mathematical physics #Mathematics #Omega #Particle physics #Physics #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Stability (learning theory) #Theoretical physics #Thermodynamics #gr-qc
paper · pdf · doi:10.1140/epjc/s10052-015-3260-9
published as Eur. Phys. J. C (2015) 75:36 · 16 pages, some new comments in the Introduction and at the begining of Section II
openalex publication_date 2015/01/01 · arxiv created 2015/01/05 · arxiv updated 2015/02/04 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.