de Sitter/anti-de Sitter global monopoles

We consider global monopoles in asymptotic de Sitter/anti-de Sitter spacetime. We present the asymptotic behaviour of the metric and Goldstone field function which is confirmed by our numerical analysis. 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 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 cannot render a positive mass of the global monopole.