Phenomenological modification of horizon temperature

In this paper a study of the accelerated expansion problem of the large scale universe is presented. To derive Friedmann like equations, describing the background dynamics of the recent universe we take into account, that it is possibile to interpret the spacetime dynamics as an emergent phenomenon. It is a consequence of the deep study of connection between gravitation and thermodynamics. Considered models are based on phenomenological modifications of the horizon temperature. In general, there are various reasons to modify the horizon temperature and one of them can be related to the feedback from the spacetime on the horizon, which will generate additional heat. In order to constraint the parameters of the models we use $Om$ analysis and the constraints on this parameter at $z=0.0$, $z=0,57$ and $z=2.34$.