Cosmic String in the BTZ Black Hole Background with Time-Dependant Tension

TL;DR

This paper investigates the dynamics of cosmic string loops with time-dependent tension in the BTZ black hole background, analyzing conditions for black hole formation and the influence of black hole parameters on string evolution.

Contribution

It introduces a study of cosmic string loop behavior with time-dependent tension in BTZ black hole spacetime, identifying critical initial radii for collapse.

Findings

Cosmic string loops can collapse into black holes depending on initial conditions.

The mass and angular momentum of the BTZ black hole affect the evolution of cosmic string loops.

Critical initial radii determine whether loops will form black holes or not.

Abstract

In this paper, we study the equation of circular loops with time-dependant tension in the BTZ black hole background. We obtain various cases where cosmic string loops finally collapse to form black holes. Also, we study effect of the BTZ black hole mass and angular momentum on the evolution of cosmic string loops. We find the critical values of initial radii as a limit for the cosmic string loops collapsing to form black holes.