标题： 非对易相空间中的爱因斯坦-以太标量-张量各向异性常滚动暴胀情景 显示英文标题

标题： Einstein-aether scalar-tensor anisotropic constant-roll inflationary scenario in noncommutative phase space

摘要： 本研究的主要目的是在非对易相空间中，研究关于爱因斯坦-以太标量-张量宇宙学的各向异性条件下的恒定滚动暴胀情景。我们首先引入一个爱因斯坦-以太标量-张量宇宙学模型。在此结构中，可以在标量-张量的作用积分中引入一个以太场，其以太系数。它将是标量场的函数，实际上是一种破坏洛伦兹对称理论的扩展。因此，我们提出了点状拉格朗日量，该拉格朗日量表示爱因斯坦-以太标量-张量模型的场方程。然后我们直接计算了我们模型的哈密顿量。根据非对易相空间的特性，我们将计算该模型的具体方程。然后，根据恒定滚动条件，我们采用各向异性恒定滚动暴胀情景，并计算了所提及模型的一些宇宙学参数，如哈勃参数、势能等。 显示英文摘要

摘要： The primary purpose of this study is to investigate the constant-roll inflationary scenario with anisotropic conditions concerning the Einstein-aether Scalar-tensor cosmology in noncommutative phase space. We first introduce an Einstein-aether scalar-tensor cosmological model. In this structure, one can introduce an aether field with aether coefficients in the action integral of scalar-tensor. It will be a function of the scalar field, which is, in fact, a kind of extender of the Lorentz-violating theories. Hence, we present the point-like Lagrangian, which represents the field equations of the Einstein-aether scalar-tensor model. Then we calculate the Hamiltonian of our model directly. According to the noncommutative phase space characteristics, we will calculate the specific equations of this model. Then, according to the constant roll conditions, we take the anisotropic constant-roll inflationary scenario and calculate some cosmological parameters of the mentioned model, such as the Hubble parameter, potential, etc.