论文标题
四源性标量调整的重力理论在奇异性中避免坐标的良好性
Well-posedness of the four-derivative scalar-tensor theory of gravity in singularity avoiding coordinates
论文作者
论文摘要
我们表明，在$ 3+1 $尺寸中，最多四个衍生品的重力理论在Einstein方程的CCZ4公式中均得到很好的体验，以避免奇异性的坐标。我们通过研究相等的质量黑洞二进制合并来证明我们在实践中的鲁棒性，以实现耦合常数的不同值。尽管我们对良好性的分析仅限于耦合较小的情况，但我们发现在模拟中，我们能够将耦合推向更大的值，因此某种弱耦合条件是一个订单，而没有不稳定性。我们的工作为这些模拟提供了依靠移动的穿刺仪来发展黑洞奇异性的许多数值相对论代码进行此类模拟的手段。
We show that the most general scalar-tensor theory of gravity up to four derivatives in $3+1$ dimensions is well-posed in a modified version of the CCZ4 formulation of the Einstein equations in singularity-avoiding coordinates. We demonstrate the robustness of our new formulation in practise by studying equal mass black hole binary mergers for different values of the coupling constants. Although our analysis of well-posedness is restricted to cases in which the couplings are small, we find that in simulations we are able to push the couplings to larger values, so that a certain weak coupling condition is order one, without instabilities developing. Our work provides the means for such simulations to be undertaken by the many numerical relativity codes that rely on the moving puncture gauge to evolve black hole singularities.
