https://doi.org/10.1140/epjc/s10052-015-3366-0
Regular Article - Theoretical Physics
Testing a dissipative kinetic k-essence model
1
Instituto de Física y Astronomía, Universidad de Valparaíso, Gran Bretaña 1111, Valparaiso, Chile
2
Centro de Astrofísica de Valparaíso, Gran Bretaña 1111, Playa Ancha, Valparaiso, Chile
3
Departamento de Física, Universidad de Santiago de Chile, Av. Ecuador 3493, Santiago, Chile
* e-mail: jose.villanuevalob@uv.cl
Received:
7
January
2015
Accepted:
12
March
2015
Published online:
9
April
2015
In this work, we present a study of a purely kinetic k-essence model, characterized basically by a parameter in presence of a bulk dissipative term, whose relationship between viscous pressure
and energy density
of the background follows a polytropic type law,
, where
, in principle, is a parameter without restrictions. Analytical solutions for the energy density of the k-essence field are found in two specific cases:
and
, and then we show that these solutions possess the same functional form as the non-viscous counterpart. Finally, both approaches are contrasted with observational data from type Ia supernova, and the most recent Hubble parameter measurements, and therefore, the best values for the parameters of the theory are found.
© SIF and Springer-Verlag Berlin Heidelberg, 2015