Speaker
Description
In the last decades, black hole solutions with non-standard topologies or non-standard asymptotic behaviour have gained considerable attention. An early example of this are the periodic static solutions in 3+1 dimensions, where infinitely many coaxial, equidistant, identical black holes are stacked in an array along the axis. Each solution is completely characterized by the area $A$ of the black holes and the distance $D$ between two consecutive black holes. These solutions are referred as periodic Schwarzschild since there is a single static horizon in the fundamental domain.
A natural question, relevant to both the context of classification of stationary solutions and to the existence of solutions with non-standard topologies, is whether a periodic Kerr solution exists or not. In this talk, we will discuss different techniques used to answer this question, in particular a recent result that shows that a static Myers/Korotkin-Nicolai solution cannot be put into stationary rotation if $12 D < \sqrt{A}$. This result establishes a novel static rigidity in 3+1 solutions.
| Keyword-1 | Black Hole Physics |
|---|---|
| Keyword-2 | Mathematical Physics |
| Keyword-3 | General Relativity |