论文标题
改性重力的有效流体方法
The effective fluid approach for modified gravity
论文作者
论文摘要
当前和即将到来的调查将需要在理论准确性方面的次级一致性,以测试不同的宇宙学和重力方案。这可以使用玻尔兹曼求解器进行,即求解宇宙学扰动的线性演化的代码。考虑到大量的重力模型,至关重要的是,具有标准化的统一方法来描述所有这些方法并将其考虑在玻尔兹曼代码中。暗能量(DE)和修饰的重力(MG)模型虽然乍一看完全不同,但可以在同一框架内统一它们。在本文中,我们基于有效的流体方法提出了一种情况,该方法允许将任何修改的重力模型映射为有效的暗能量流体,然后我们以简单明了的方式展示了如何将其实现到现有的玻尔兹曼代码中。这种方法还具有一个优势:计算后台$ w(a)$的方程以及在线性扰动下的声音速度$ c_s^2(a,k)$和各向异性应力$π(a,k)$。特别是,我们表明,通过简单地修改后者的宇宙线性各向异性解决系统(类)代码,我们称为efclass,我们以更简单且较小的错误方法的方法提供竞争结果,包括修饰的重力模型的效果。为了测试我们的修改,我们将有效的流体方法专门针对F(R)理论和幸存类别的Horndeski模型,即设计师Horndeski(HDES),它们与标准宇宙学模型$λ$ CDM具有背景。
Current and coming surveys will require sub-percent agreement in theoretical accuracy to test the different cosmological and gravity scenarios. This can be performed with Boltzmann solvers, i.e. codes that solve the linear evolution of cosmological perturbations. Given the plethora of gravity models, it is crucial to have a standardized unified way to describe all of them and take them into account in a Boltzmann code. Dark Energy (DE) and Modified Gravity (MG) models, although at a first glance quite dissimilar, are possible to unify them within the same framework. In this paper we present a scenario, based on the effective fluid approach that allows to map any modified gravity model as an effective dark energy fluid and then we show how to implement it into existing Boltzmann codes in a simple and straightforward way. This approach has also the advantage that only a handful of variables are needed to compute, i.e the equation of state $w(a)$ at the background level and the sound speed $c_s^2(a,k)$ and the anisotropic stress $π(a,k)$ at the linear perturbation. In particular we show that with simple modifications to the latter Cosmic Linear Anisotropy Solving System (CLASS) code, which we called EFCLASS, we provide competitive results in a much simpler and less error-prone approach in including the effects of modified gravity models. To test our modifications, we particularize the effective fluid approach to f(R) theories and a surviving class of Horndeski models, the designer Horndeski (HDES) which have a background exactly to the standard cosmological model $Λ$CDM.