标题： 球对称动力学背景的Horndeski理论立方子类中的无-go定理 显示英文标题

标题： No-Go theorem in the cubic subclass of Horndeski theory for spherically symmetric dynamical background

摘要： 我们考虑了Horndeski理论立方子类中的一般动力学的球对称背景，并利用DPSV方法得到了扰动的二次作用量。 我们分析了高能模式的稳定性条件，并研究了当前Horndeski理论子类中的no-go定理问题。 我们制定了弱依赖于一个变量（时间或径向）的no-go定理，并将其推广到可以通过坐标变换简化为标量场在其中一个坐标上具有弱依赖的情形。 此外，我们还证明了在Horndeski理论的立方子类中，一大类奇异解也被禁止。 显示英文摘要

摘要： We consider a general dynamical, spherically symmetric background in the cubic subclass of Horndeski theory and obtain the quadratic action for the perturbations using the DPSV approach. We analyse the stability conditions for high-energy modes and study the issue of the no-go theorem in the current subclass of Horndeski theory. We formulate the no-go theorem for weak dependence on one variable (time or radial) and derive its generalization to the cases which could be reduced by coordinate transformation to scenarios where the scalar field has weak dependence on one of the coordinates. Moreover we show that wide class of singular solutions are also prohibited within the cubic subclass of Horndeski theory.