Strings in Kerr-Newmann Black Holes

TL;DR

This paper investigates the behavior of strings around Kerr-Newmann black holes, presenting exact solutions and analyzing energy extraction processes similar to the Penrose process.

Contribution

It introduces three classes of exact solutions for strings in Kerr-Newmann black holes and explores energy extraction mechanisms.

Findings

Three classes of exact solutions for strings are derived.

Energy extraction analogous to the Penrose process is demonstrated.

Solutions depend on arbitrary functions and constants.

Abstract

We study the evolution of strings in the equatorial plane of a Kerr-Newmann black hole. Writting the equations of motion and the constraints resulting from Hamilton's principle, three classes of exact solutions are presented, for a closed string, encircling the black hole. They all depend on two arbitrary integration functions and two constants. A process of extracting energy is examined for the case of one of the three families of solutions. This is the analog of the Penrose process for the case of a particle.