On the nature of cosmic strings in black hole spacetimes

A new model for cosmic strings (i.e. conical singularities) attached to black holes is proposed. These string are obtained by a explicit construction via limiting process from the so-called Bonnor rocket. This reveals quite surprising nature of their stress–energy tensor which contains first derivative of Dirac δ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\delta $$\end{document} distribution. Starting from the Bonnor rocket we explicitly construct the Schwarzschild solution witch conical singularity and the C-metric. In the latter case we show that there is a momentum flux through the cosmic string, causing the acceleration of the black hole and the amount of this momentum is in agreement with the momentum taken away by gravitational radiation.