Treasure Hunting in the Classical Double Copy

The classical double copy relates exact solutions in general relativity with those of classical linearized Yang-Mills theory. In this poster presentation I describe the work I have done on understanding the classical double copy from various viewpoints. Using the Kerr-Schild double copy, I analyze the single copy of a rotating nonsingular black hole and analyze its horizon structure to probe the relationship between the presence of horizons on the gravity side and the single copy field on the gauge theory side. Next, I describe the mapping between the surface gravity of static spherically symmetric black holes and the force on a test particle due to the single copy field of the black hole. I also describe potential routes to extending this map to more general black holes, specifically ones which are rotating. Finally, inspired by the extended Weyl double copy for spacetimes possessing sources, I reinterpret the single copy of the Taub-NUT metric as being comprised of two terms each being sourced by a separate parameter (the mass and the NUT charge).