https://doi.org/10.1140/epjc/s10052-015-3260-9
Regular Article - Theoretical Physics
A new approach on the stability analysis in ELKO cosmology
1
Departamento de Física e Química, Faculdade de Engenharia de Guaratinguetá, UNESP-Univ. Estadual Paulista “Júlio de Mesquita Filho”, Av. Dr. Ariberto Pereira da Cunha 333-Pedregulho, Guaratinguetá, SP, 12516-410, Brazil
2
Universidade Estadual Paulista “Júlio de Mesquita Filho”, Campus Itapeva Rua Geraldo Alckmin 519, Vila N. Sra. de Fátima, Itapeva, SP, 18409-010, Brazil
* e-mail: shpereira@gmail.com
Received:
29
August
2014
Accepted:
5
January
2015
Published online:
29
January
2015
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 . The strength of the interaction between matter and ELKO field is characterized by a constant parameter
and it is also assumed that both ELKO field and matter energy density are related to their pressures by equations of state parameters
and
, respectively. The system of equations is analyzed by a dynamical system approach. It has been found the conditions of stability between the parameters
and
in order to have stable fixed points for the system for different values of the equation of state parameters
and
, 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
and
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.
© SIF and Springer-Verlag Berlin Heidelberg, 2015