Black hole thermodynamics, spacetime conformal mappings, cosmological perturbations, and modified gravity.

这个项目的目的是为了更好地了解引力、黑洞以及宇宙的起源和演化。根据爱因斯坦的广义相对论(GR)(我们今天拥有的最好的引力理论)，黑洞是时空中物质如此密集的区域，以至于它实际上在时空中形成了洞。我将使用理论家们最喜欢的工具之一--时空保角映射--更仔细地研究黑洞的演化，以研究时空。此工具包括更改事件的长度和持续时间，而不更改该事件的坐标。由于黑洞的热力学和力学深深地交织在一起，通过使用这个宝贵的理论工具来研究后者，我将给前者带来更多的启发。

The aim of this program is to achieve a better understanding of gravity, black holes, and the beginning as well as the evolution of the Universe. Black holes are regions of spacetime where matter is so dense that it literally forms holes in spacetime according to Einstein's General Relativity (GR) (the best theory of gravity we have today). I will examine more closely the evolution of black holes using one of theorists' favorite tools, called spacetime conformal mapping, for studying spacetime. This tool consists in changing the lengths and the duration of an event without changing the coordinates of that event. Since the thermodynamics and the mechanics of black holes are deeply intertwined, by studying the latter using this precious theoretical tool I will bring more light to the former.