Cosmic String Loops Collapsing to Black Holes

Details Cosmic String Loops Collapsing to Black Holes Cosmic String Loops Collapsing to Black Holes

1999-02-17

arxiv.org/abs/gr-qc/9902048v2

Int.J.Mod.Phys. A15 (2000) 4433-4446

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Conclusion revised. Final version to appear in IJMPA

Scientific paper

10.1142/S0217751X00001450

We examine the question of collapse of Turok's two-parameter family of cosmic strings. We first perform a classification of the strings according to the specific time(s) at which the minimal string size is reached during one period. We then obtain an exact analytical expression for the probability of collapse to black holes for the Turok strings. Our result has the same general behavior as previously obtained in the literature but we find, in addition, a numerical prefactor that changes the result by three orders of magnitude. Finally we show that our careful computation of the prefactor helps to understand the discrepancy between previously obtained results and, in particular, that for "large" values of $G\mu$, there may not even be a discrepancy. We also give a simple physical argument that can immediately rule out some of the previously obtained results.

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