Einstein-Aether Scalar-Tensor Anisotropic Constant-Roll In ationary Scenario in Noncommutative Phase Space

The primary purpose of this study is to investigate the constant-roll in-ationary scenario with anisotropic conditions concerning the einstein-aether scalar-tensor cosmology in noncommutative phase space. we rst introduce an einstein-aether scalar-tensor cosmological model. in this structure, one can introduce an aethereld with aether coecients in the action integral of scalar-tensor. it will be a func-tion of the scalar eld, which is, in fact, a kind of extender of the lorentz-violatingtheories. hence, we present the point-like lagrangian, which represents the eld equa-tions of the einstein-aether scalar-tensor model. then we calculate the hamiltonianof our model directly. according to the noncommutative phase space characteristics,we will calculate the specic equations of this model. then, according to the constant-roll conditions, we take the anisotropic constant-roll inationary scenario and calculatesome cosmological parameters of the mentioned model, such as the hubble parameter,potential, etc.