论文标题

标量高斯 - 骨网络中的数值相对论:3+1分解超过小耦合极限

Towards numerical relativity in scalar Gauss-Bonnet gravity: 3+1 decomposition beyond the small-coupling limit

论文作者

Witek, Helvi, Gualtieri, Leonardo, Pani, Paolo

论文摘要

标量高斯 - 骨网是唯一对二次曲率校正的理论,其场方程为第二个差分顺序。该理论允许进行非扰动的动态校正,因此是强度横向侵蚀制度中超级相对效应的最引人注目的案例研究之一。但是,具有二阶场方程并不能保证通用配置中健康的时间演变。作为在该理论中发展黑孔二进制文件的第一步,我们在这里为任何(不一定很小)耦合常数的场方程的3+1分解,并讨论其实施的潜在挑战。

Scalar Gauss-Bonnet gravity is the only theory with quadratic curvature corrections to general relativity whose field equations are of second differential order. This theory allows for nonperturbative dynamical corrections and is therefore one of the most compelling case studies for beyond-general relativity effects in the strong-curvature regime. However, having second-order field equations is not a guarantee for a healthy time evolution in generic configurations. As a first step towards evolving black-hole binaries in this theory, we here derive the 3+1 decomposition of the field equations for any (not necessarily small) coupling constant and we discuss potential challenges of its implementation.

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