General relativistic corrections to $N$-body simulations and the Zel'dovich approximation
General relativistic corrections to $N$-body simulations and the Zel'dovich approximation
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对 $N$ 体模拟和 Zeldovich 近似的广义相对论修正
DOI：
10.1103/physrevd.92.123517
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发表时间：
2015
影响因子：
5
通讯作者：
D. Wands
中科院分区：
文献类型：
--
作者：
C. Fidler;C. Rampf;T. Tram;R. Crittenden;K. Koyama ;D. Wands
牛顿体模拟的初始条件通常通过将泽尔多维奇近似应用于粒子的初始位移来生成，使用由爱因斯坦-玻尔兹曼求解器生成的密度波动的初始功率谱。我们表明，在大多数计的初始位移以这种方式产生的接收一阶相对论修正。我们定义了一个新的规范，体规范，在这种相对论校正消失，并表明，一个传统的牛顿体模拟包括所有的一阶相对论贡献（在没有辐射的情况下），如果我们确定的坐标在牛顿模拟与那些在相对论体规范。
The initial conditions for Newtonian-body simulations are usually generated by applying the Zel’dovich approximation to the initial displacements of the particles using an initial power spectrum of density fluctuations generated by an Einstein-Boltzmann solver. We show that in most gauges the initial displacements generated in this way receive a first-order relativistic correction. We define a new gauge, the-body gauge, in which this relativistic correction vanishes and show that a conventional Newtonian-body simulation includes all first-order relativistic contributions (in the absence of radiation) if we identify the coordinates in Newtonian simulations with those in the relativistic-body gauge.