Self-Consistent Modeling of Gravitational Theories beyond General Relativity.

The majority of extensions to general relativity (GR) display mathematical pathologies-higher derivatives, character change in equations that can be classified within partial differential equation theory, and even unclassifiable ones-that cause severe difficulties to study them, especially in dynamical regimes. We present here an approach that enables their consistent treatment and extraction of physical consequences. We illustrate this method in the context of single and merging black holes in a highly challenging beyond GR theory.

广义相对论（GR）的大多数扩展都存在数学上的弊病——高阶导数、在偏微分方程理论范畴内可分类的方程的性质变化，甚至还有无法分类的情况——这给研究它们带来了严重困难，尤其是在动力学领域。我们在此提出一种方法，能够对它们进行一致的处理并提取物理结果。我们在一个极具挑战性的超越广义相对论的理论中，针对单个黑洞和合并黑洞的情况说明了这种方法。