论文标题
双重FLRW宇宙中的全息复杂性增长率
Holographic Complexity Growth Rate in a dual FLRW Universe
论文作者
论文摘要
在本文中，采取了较大的$ r $限制并使用复杂性 - 体积二元性，我们研究了位于高斯 - 骨网引力和大量重力的宇宙定义的田间定义的田间状态的全息复杂性生长速率。 For the Gauss-Bonnet gravity case, its growth behavior of the state mainly presents three kinds of contributions: one, as a finite term viewed as an interaction term, comes from a conserved charge, the second one is from the spatial volume of the universe and the third one relates the curvature of the horizon in the AdS Gauss-Bonnet black hole, where the Gauss-Bonnet effect plays a vital role on such growth rate.对于大量重力案例，除了仍然遵守宇宙空间体积的生长速度的第一个发散术语外，其结果表明了更有趣的新颖现象：除了保守的电荷$ e $之外，Graviton质量术语还为有限项提供了效果；第三个发散项由其地平线$ k $和Graviton质量效应的空间曲率确定；此外，重力质量效应可以完全造成第二个不同项，因为新的额外术语使区域定律饱和。
In this paper, taking the large $R$ limit and using the complexity-volume duality, we investigate the holographic complexity growth rate of a field state defined on the universe located at an asymptotical AdS boundary in Gauss-Bonnet gravity and massive gravity, respectively. For the Gauss-Bonnet gravity case, its growth behavior of the state mainly presents three kinds of contributions: one, as a finite term viewed as an interaction term, comes from a conserved charge, the second one is from the spatial volume of the universe and the third one relates the curvature of the horizon in the AdS Gauss-Bonnet black hole, where the Gauss-Bonnet effect plays a vital role on such growth rate. For massive gravity case, except the first divergent term still obeying the growth rate of the spatial volume of the Universe, its results reveal the more interesting novel phenomenons: beside the conserved charge $E$, the graviton mass term also provides its effect to the finite term; and the third divergent term is determined by the spatial curvature of its horizon $k$ and graviton mass effect; furthermore, the graviton mass effect can be completely responsible for the second divergent term as a new additional term saturating an area law.
