Numerical black hole solutions in modified gravity theories: Axial symmetry case
Numerical black hole solutions in modified gravity theories: Axial symmetry case
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修正引力理论中的数值黑洞解：轴对称情况
DOI：
10.1103/physrevd.103.124058
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发表时间：
2021
影响因子：
5
通讯作者：
Sotiriou, Thomas P.
中科院分区：
文献类型：
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作者：
Sullivan, Andrew;Yunes, Nicolás;Sotiriou, Thomas P.
我们扩展了最近开发的数值代码，以获得固定的，轴对称的解决方案，描述旋转黑洞时空中的广泛的一类修改后的引力理论。该程序采用松弛牛顿-拉夫逊方法，在二维网格上用牛顿多项式有限差分格式求解全非线性修正爱因斯坦方程。我们通过考虑广义相对论中的静态和轴对称黑洞来验证这个代码。我们获得旋转黑洞的解决方案，标量高斯-Bonnet引力与线性（线性标量高斯-Bonnet）和指数（爱因斯坦-爱因斯坦-高斯-Bonnet）耦合，并比较它们的解析和数值微扰解。从这些数值解，我们构建了一个拟合的分析模型和研究从数值结果计算的可观察的属性。
We extend a recently developed numerical code to obtain stationary, axisymmetric solutions that describe rotating black hole spacetimes in a wide class of modified theories of gravity. The code utilizes a relaxed Newton-Raphson method to solve the full nonlinear modified Einstein’s equations on a two-dimensional grid with a Newton polynomial finite difference scheme. We validate this code by considering static and axisymmetric black holes in general relativity. We obtain rotating black hole solutions in scalar–Gauss-Bonnet gravity with a linear (linear scalar–Gauss-Bonnet) and an exponential (Einstein-dilaton–Gauss-Bonnet) coupling and compare them to analytical and numerical perturbative solutions. From these numerical solutions, we construct a fitted analytical model and study observable properties calculated from the numerical results.