Effective field theory corrections to General Relativity

该项目将使用有效场论（EFT）作为探索偏离广义相对论（GR）的框架。在自然界中观测到的唯一经典场是引力场和电磁场。你可以写下这些领域的EFT。这是具有更高导数修正的传统爱因斯坦-麦克斯韦理论。主要的修正有四个导数。值得注意的是，可以使用场重定义来将它们写成这样一种形式，使运动方程保持二阶。这个项目将从获得这些运动方程的适定公式开始。然后，这将用于研究EFT修正如何影响GR中的标准结果，以及黑洞时空中可能观察到的影响。

The project will use Effective Field Theory (EFT) as a framework for exploring deviations from General Relativity (GR). The only classical fields observed in Nature are the gravitational and electromagnetic fields. One can write down an EFT for these fields. This is conventional Einstein-Maxwell theory with higher derivative corrections. The leading corrections have four derivatives. Remarkably, field redefinitions can be used to write these in a form such that the equations of motion remain second order. This project will start by obtaining a well-posed formulation of these equations of motion. This will then be used to investigate how the EFT corrections affect standard results in GR, and possible observable effects in black hole spacetimes.