Title: A Fast Route to Non-Linear Clustering Statistics in Modified Gravity Theories Show Chinese title

Title: 修正引力理论中非线性聚类统计的快速途径

Abstract: We propose a simple and computationally fast method for performing N-body simulations for a large class of modified gravity theories with a screening mechanism such as chameleons, symmetrons and galileons. By combining the linear Klein-Gordon equation with a screening factor, calculated from analytical solutions of spherical symmetric configurations, we obtain a modified field equation whose solution is exact in the linear regime while at the same time takes screening into account on non-linear scales. The resulting modified field equation remains linear and can be solved just as quickly as the Poisson equation without any of the convergence problems that can arise when solving the full equation. We test our method with N-body simulations and find that it compares remarkably well with full simulations well into the non-linear regime. Show Chinese abstract

Abstract: 我们提出了一种简单且计算速度快的方法，用于对一大类具有屏蔽机制的修改引力理论（如变色龙、对称子和加利雷子）进行N体模拟。 通过结合线性Klein-Gordon方程与由球对称构型解析解计算出的屏蔽因子，我们得到了一个修正场方程，其解在线性范围内是精确的，同时在非线性尺度上也考虑了屏蔽效应。 所得的修正场方程仍保持线性，并且可以像Poisson方程一样快速求解，而不会出现求解完整方程时可能出现的收敛问题。 我们用N体模拟测试了该方法，发现它在非线性范围内的表现与全模拟相比非常出色。