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arXiv 2005.12626hep-th
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具有额外标量场的Beyond Horndeski理论中的超光现象

Superluminality in beyond Horndeski theory with extra scalar field

S. Mironov, V. Rubakov, V. Volkova

摘要:

本文研究了具有附加标量场的超越Horndeski理论中的超光速问题,该场与引力耦合极小,且在拉格朗日量中没有二阶导数。给出了宇宙背景扰动的二次作用量、稳定性条件和声速表达式。我们发现,在传统的附加标量的情况下,其平面空间的传播速度是光,在相互作用理论中的模式之一必然是超光速时,这个标量滚动,甚至任意缓慢。这个结果适用于任何超越Horndeski类的理论(拉格朗日函数中有6个任意函数)和任何稳定的滚动背景。更一般地说,不存在超光度的要求对理论的结构施加了非平凡的约束。

英文摘要:

We study the superluminality issue in beyond Horndeski theory with additional scalar field, which is minimally coupled to gravity and has no second derivatives in the Lagrangian. We present the quadratic action for perturbations in cosmological backgrounds, stability conditions and expressions for sound speeds. We find that in the case of conventional additional scalar whose flat-space propagation speed is that of light, one of the modes in interacting theory is necessarily superluminal when this scalar rolls, even arbitrarily slowly. This result holds in any theory of the beyond Horndeski class (with 6 arbitrary functions in the Lagrangian) and for any stable rolling background. More generally, the requirement of the absence of superluminality imposes non-trivial constraints on the structure of the theory.

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