论文标题
重力反问题的解决方案家族：围绕度量的理论建立理论
A family of solutions to the inverse problem in gravitation: building a theory around a metric
论文作者
论文摘要
提出了一种方法来构建一种特定的，非最少耦合的标量调整理论，以便给定的度量是该理论中的确切真空解决方案。与重力动力学研究中的标准方法相反，该方法从一个动作开始，然后求解运动方程，这种方法允许围绕一些预先指定的几何形状构建明确的理论。从带有通用的非凯尔头发的参数化黑洞时空开始，展示了如何设计总体理论家族以精确地符合度量。
A method is presented to construct a particular, non-minimally coupled scalar-tensor theory such that a given metric is an exact vacuum solution in that theory. In contrast to the standard approach in studies of gravitational dynamics, where one begins with an action and then solves the equations of motion, this approach allows for an explicit theory to be built around some pre-specified geometry. Starting from a parameterized black hole spacetime with generic, non-Kerr hairs, it is shown how an overarching family of theories can be designed to fit the metric exactly.
