Investigation of weak null singularities inside spherically symmetric black holes in the presence of matter fields

Raya Valentinova Mancheva的博士项目是关于黑洞内部球对称弱零奇点附近物质场的行为及其对引力场的反作用的研究。在第一步中，球对称欧拉方程和弹性将被认为是在一个固定的背景和确定的状态变量的时间行为。在更具挑战性的第二步，耦合到球对称的爱因斯坦-麦克斯韦标量场系统考虑到这些物质场的存在下，以确定弱零奇点的命运。

The proposed PhD project for Raya Valentinova Mancheva is on the investigation of the behaviour of matter fields near spherically symmetric weak null singularities inside black holes and their back-reaction on the gravitational field. In a first step the spherically symmetric Euler equations and elasticity will be considered on a fixed background and the temporal behaviour of the state variables determined. In a more challenging second step, the coupling to the spherically symmetric Einstein-Maxwell-scalar field system is taken into account to determine the fate of the weak null singularity under the presence of those matter fields.