标题： 非可行定理在霍恩德斯基理论的三次子类中对于球对称动态背景 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： 我们考虑霍恩德斯基理论三次子类中的通用动态球对称背景，并使用 DPSV 方法获得扰动的二次作用量。 我们分析高能模式的稳定性条件，并研究当前霍恩德斯基理论子类中的无解定理问题。 我们制定关于对一个变量（时间或径向）弱依赖的无解定理，并推导其推广到可以通过坐标变换简化为标量场对其中一个坐标具有弱依赖性的场景的情况。 此外，我们表明霍恩德斯基理论三次子类中广泛的一类奇异解也被禁止。 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.