Horndeski理论中的Vainshtein屏蔽
Vainshtein screening in Horndeski theories nonminimally and kinetically coupled to ordinary matter
摘要：
本文研究了Horndeski理论中标量场$ϕ$与普通物质场非极小动力学耦合时的Vainshtein屏蔽机制。描述这种耦合的一般相互作用拉格朗日量的特征在于能量传递$f_1$和动量交换$f_2$。对于处于宇宙学背景之上的球对称位形，我们研究了在线性和非线性区域中相对于标量场扰动的静态扰动。在前一种状态下，只要存在物质耦合或$G_{4,ϕ}$，参数化后牛顿参数通常偏离1。另一方面，在后者的制度，我们表明，非线性自相互作用项的标量场成功地激活Vainshtein机制，即使在存在的耦合$f_1$和$f_2$。引力势恢复了范施泰因半径深处的牛顿行为。同时给出了不改变Vainshtein半径的耦合项的边界。
英文摘要：
We study the Vainshtein screening mechanism in Horndeski theories in the presence of a scalar field $ϕ$ nonminimally and kinetically coupled to ordinary matter field. A general interacting Lagrangian describing this coupling is characterized by energy transfer $f_1$ and momentum exchange $f_2$. For a spherically symmetric configurations on top of the cosmological background, we investigate the static perturbations in linear and nonlinear regimes with respect to the scalar field perturbation. In the former regime, the parametrized post-Newtonian parameter generally deviates from unity as long as the matter coupling or $G_{4,ϕ}$ exists. On the other hand, in the latter regime, we show that the nonlinear self-interaction term of scalar field successfully activates the Vainshtein mechanism even in the presence of the couplings $f_1$ and $f_2$. The gravitational potentials recover the Newtonian behavior deep inside the Vainshtein radius. The bounds on coupling terms not to substantially change the Vainshtein radius are also given.
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