论文标题
Horndeski重力的数值相对论
Numerical relativity for Horndeski gravity
论文作者
论文摘要
我们概述了Horndeski重力理论的数值解中的最新发展，这是所有具有二阶运动方程的重力理论的类别。我们回顾了几种用于为这些理论建立良好的初始价值问题的方法，并讨论了约束方程的良好表述。我们还讨论了某些霍尼斯基重力理论的精确，紧密耦合的解决方案的全球方面：冲击的形成，损失双曲线和裸曲率奇异性的形成。最后，我们讨论了几种Horndeski理论的二进制黑洞和中子星系的数值解决方案。
We present an overview of recent developments in the numerical solution of Horndeski gravity theories, which are the class of all scalar-tensor theories of gravity that have second order equations of motion. We review several methods that have been used to establish well-posed initial value problems for these theories, and discuss well-posed formulations of the constraint equations. We also discuss global aspects of exact, strongly coupled solutions to some of Horndeski gravity theories: the formation of shocks, the loss of hyperbolicity, and the formation of naked curvature singularities. Finally we discuss numerical solutions to binary black hole and neutron star systems for several Horndeski theories.
