de Sitter/ Anti-de Sitter global monopoles

TL;DR

This paper investigates global monopoles in de Sitter and Anti-de Sitter spacetimes, analyzing their asymptotic behavior, horizon formation, and mass properties through numerical methods.

Contribution

It provides a detailed numerical analysis of global monopoles in curved spacetimes, highlighting how horizons depend on the cosmological constant and gravitational coupling.

Findings

Horizon appearance depends on cosmological constant sign and magnitude.

Global monopoles in AdS space have a critical gravitational coupling for horizon formation.

Cosmological constant does not make the monopole mass positive.

Abstract

We consider global monopoles in asymptotic de Sitter/ Anti- de Sitter space-time. We present the by our numerical analysis confirmed asymptotic behaviour of the metric and Goldstone field functions. We find that the appearance of horizons in this model depends strongly on the sign and value of the cosmological constant as well as on the value of the gravitational coupling. In Anti-de Sitter (AdS) space, we find that for a fixed value of the cosmological constant, global monopoles without horizons exist only up to a critical value of the gravitational coupling. Moreover, we observe (in contrast to another recent study) that the introduction of a cosmological constant can NOT render a positive mass of the global monopole.