Energy condition in Rastall gravity theory

Modified gravity is believed to be a good candidate in explaining unknown components such as dark energy and dark matter. Recently, The Rastall gravity one of the modified gravity, provide the interesting result that dark energy may cluster. Some of the modified gravity use several parameters whose value must be constrained from experimental results or existing theories. In this context, energy condition is expected to be able to constrain this parameter. In our study, we are able to limit the parameter in the range λ ≤ 0 and λ ≥ 1 in the context stellar matter(where λ is Rastall parameter). We display the results in the graph of the equation of state parameter w againts Rastall parameter λ. So this results can be generally used in studying cosmology or stellar objects.