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Effects of the kinetic coupling of matter to curvature

机译:物质动力学耦合对曲率的影响

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摘要

We discuss the effects on the kinetic properties of the scalar field which is coupled to the Einstein tensor. We first discuss a model of unification of dark matter and dark energy in the context of the Generalized Horndeski Theory. We show that if the scalar field represents dark matter then, because of its coupling to curvature, during the matter-dominated area it has a slow cosmological evolution acting like a pressureless fluid, and at later cosmological times it acts as dark matter. Then, the gravitational collapse of a time-dependent scalar field is studied in a theory with negative cosmological constant. It was found that it takes more time for a black hole to be formed as the coupling is increased. We also discuss a holographic model of building a holographic superconductor in the presence of the derivative coupling. We found that this coupling plays the role of an impurity parameter on the boundary theory. Breaking the translational invariance near the critical temperature two phases in the dual theory were found, a metal phase for positive coupling and an insulating phase if the coupling is negative.
机译:我们讨论了对耦合到爱因斯坦张量的标量场的动力学特性的影响。我们首先在广义的Horndeski理论的背景下讨论暗物质和黑暗能量的统一模型。我们表明,如果标量场代表暗物质,那么由于其与曲率的耦合,在问题主导区域期间,它具有慢宇宙学的演化作用类似于无压流体,并且在后面的宇宙学中它充当暗物质。然后,在具有负宇宙常数的理论中研究了时间依赖的标量场的引力塌陷。发现,当耦合增加时,将形成一个待形成的黑洞需要更多时间。我们还讨论在衍生偶联的存在下构建全图超导体的全息模型。我们发现该耦合起到了杂质参数对边界理论的作用。在临界温度附近打破翻译不变性,发现双重理论中的两个阶段,如果耦合为负,则为正耦合的金属相和绝缘阶段。

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