https://doi.org/10.1140/epjc/s10052-017-5077-1
Regular Article - Theoretical Physics
Late-time cosmological evolution of a general class of 
gravity with minimal curvature-matter coupling
1
Physics Department, Faculty of Sciences, University of Sistan and Baluchestan, Zahedan, Iran
2
Department of Physics, Kahnooj Branch, Islamic Azad University, Kerman, Iran
* e-mail: ah.ziaie@gmail.com
Received:
19
April
2017
Accepted:
19
July
2017
Published online:
1
August
2017
In this work, we study the late-time cosmological solutions of 
models assuming that the conservation of the energy-momentum tensor (EMT) is violated. We perform our analysis through constructing an autonomous dynamical system for the equations of motion. We study the stability properties of solutions via considering linear perturbations about the related equilibrium points. Moreover, we parameterize the Lagrangian by introducing the parameters m(r) and n(s). These parameters which are constructed out of the functions 
and 
play the main role in finding the late-time behavior of the solutions. We find that there exist, in general, three classes of solutions; all models with 
include a proper transition from a prolonged matter era to a de Sitter solution. Models with 
and 
, for at least a root of equation 
, include an unphysical dark energy solution preceding an improper matter era. Finally, for 
there is a transient accelerated expansion era with 
before a de Sitter phase. For all cases, in order to have a long enough matter dominated epoch, the condition 
for 
must hold. We also show that models with a power law dependency i.e., 
can be observationally motivating for 
and 
and therefore could provide a suitable setting for later investigations.
© The Author(s), 2017
