Effect of a positive cosmological constant on cosmic strings

Abstract

We study cosmic Nielsen-Olesen strings in space-times with a positive cosmological constant. For the free cosmic string in a cylindrically symmetric space-time, we calculate the contribution of the cosmological constant to the angle deficit, and to the bending of null geodesics. For a cosmic string in a Schwarzschild-de Sitter space-time, we use Kruskal patches around the inner and outer horizons to show that a thin string can pierce them.

v3:15pp. References and some explanations added; version accepted for publication in Phys. Rev. D

References in corpus (4)

• The Contribution of the Cosmological Constant to the Relativistic Bending of Light Revisited
• Cosmological constant and lensing
• No hair theorems for positive Λ
• Cosmic strings in a space-time with positive cosmological constant