arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2006.11019astro-ph.COgr-qc
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修正引力下结构增长的相对论修正

Relativistic Corrections to the Growth of Structure in Modified Gravity

Guilherme Brando, Kazuya Koyama, David Wands

摘要:

本文提出了一种方法,将Horndeski理论中包含线性暗能量微扰的相对论修正引入到基于N体规范方法的牛顿模拟中。我们假设标准物质种类(冷暗物质,重子,光子和中微子)只与标量场引力耦合,然后我们使用的事实,即可以包括修改后的重力效应作为一个有效的暗能量流体中的总能量动量张量。为了计算标量场的微扰,以及宇宙学背景和度规微扰,我们使用Einstein-Boltzmann程序\hiclass。作为一个例子,我们研究了相对论修正对k-本质(Horndeski理论的一个子类)中物质功率谱的影响,包括无质量和大质量中微子的影响。对于$\sum m_ν = 0.1$ eV的大质量中微子,相对论性物质(光子、中微子和暗能量)的修正可以使$k \sim 10^{-3} \ \textrm{Mpc}^{-1}$在$z=0$处的功率谱在物质支配时期的声速标量场$c_{s}^{2}\sim 0.013$处产生约为$7\%$的最大偏差.我们的形式主义使得有可能测试超越$Λ$ CDM模型探测即将到来的大尺度结构调查非常大的规模。

英文摘要:

We present a method to introduce relativistic corrections including linear dark energy perturbations in Horndeski theory into Newtonian simulations based on the N-body gauge approach. We assume that standard matter species (cold dark matter, baryons, photons and neutrinos) are only gravitationally-coupled with the scalar field and we then use the fact that one can include modified gravity effects as an effective dark energy fluid in the total energy-momentum tensor. In order to compute the scalar field perturbations, as well as the cosmological background and metric perturbations, we use the Einstein-Boltzmann code \hiclass. As an example, we study the impact of relativistic corrections on the matter power spectrum in k-essence, a subclass of Horndeski theory, including the effects of massless and massive neutrinos. For massive neutrinos with $\sum m_ν = 0.1$ eV, the corrections due to relativistic species (photons, neutrinos and dark energy) can introduce a maximum deviation of approximately $7\%$ to the power spectrum at $k \sim 10^{-3} \ \textrm{Mpc}^{-1}$ at $z=0$, for a scalar field with sound speed $c_{s}^{2}\sim 0.013$ during matter domination epoch. Our formalism makes it possible to test beyond $Λ$CDM models probed by upcoming large-scale structure surveys on very large scales.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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