论文标题
修改后的重力理论中的数值黑洞溶液：轴向对称情况
Numerical Black Hole Solutions in Modified Gravity Theories: Axial Symmetry Case
论文作者
论文摘要
我们扩展了最近开发的数值代码，以获得固定的轴对称解，这些解决方案描述了在广泛的重力理论中旋转黑洞的空位。该代码利用牛顿 - 拉夫森（Newton-Raphson）轻松的方法在具有牛顿多项式有限差方案的二维网格上求解完整的非线性修改爱因斯坦方程。我们通过考虑一般相对论中的静态和轴对称黑洞来验证该代码。我们获得了带线性（线性标量 - 高斯键网）和指数（Einstein-Dilaton-Gauss-Bonnet）耦合的标量 - 高斯 - 邦网重力中的旋转黑洞溶液，并将它们与分析性和数值扰动解决方案进行比较。从这些数值解决方案中，我们构建了一个拟合的分析模型，并根据数值结果计算出的可观察性能。
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.
