
TL;DR
This paper studies the dynamics of a cosmic string near a Schwarzschild black hole, revealing complex behaviors like capture and transmutation due to gravitational interactions, despite the system's non-integrability.
Contribution
It introduces a numerical analysis of a circular cosmic string's behavior in a black hole background, highlighting phenomena like adiabatic capture and string transmutation.
Findings
System exhibits non-integrable dynamics.
Black hole interaction causes adiabatic capture.
String transmutation occurs due to gravitational effects.
Abstract
We consider a macroscopic charge-current carrying (cosmic) string in the background of a Schwarzschild black hole. The string is taken to be circular and is allowed to oscillate and to propagate in the direction perpendicular to its plane (that is parallel to the equatorial plane of the black hole). Nurmerical investigations indicate that the system is non-integrable, but the interaction with the gravitational field of the black hole anyway gives rise to various qualitatively simple processes like "adiabatic capture" and "string transmutation".
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