The circular loop equation of a cosmic string with time-varying tension in de Sitter spacetimes

Abstract

In this work the equation of circular loops of cosmic string possessing time-dependent tension is studied in the de Sitter spacetime. We find that the cosmic string loops with initial radius $r(t_0)>0.707L$, L de Sitter radius, should not collapse to form a black holes. It is also found that in the case of $r(t_0)<0.707L$ a loop of cosmic string whose tension depends on some power of cosmic time can not become a black hole if the power is lower than a critical value which is associated with the initial size of the loop.

6 pages

References in corpus (3)

• Gravitational Waves from Light Cosmic Strings: Backgrounds and Bursts with Large Loops
• Reionization from cosmic string loops
• Implications of cosmic strings with time-varying tension on CMB and large scale structure