Global monopole surrounded by quintessence-like matter

TL;DR

This paper finds new static solutions for global monopoles surrounded by quintessence-like matter, revealing complex gravitational fields and horizons influenced by the equation of state parameter, with potential astrophysical implications.

Contribution

It introduces novel solutions for global monopoles with quintessence-like matter, extending understanding of their gravitational properties and horizons in Einstein's equations.

Findings

Monopoles produce de Sitter-like gravitational fields outside the core.

Outer horizons depend on both Goldstone and quintessence fields.

Solutions do not exist at w_q = -1/3 due to density behavior.

Abstract

We present new static spherically-symmetric solutions of Einstein equations with the quintessence-like matter surrounding a global monopole. These new solutions of the coupling scalar-Einstein equations are more complicated, which depend on the parameter of equation of state $-1 < w_{q} <-{1/3}$. A gravitating global monopole produces a gravitational field of de Sitter kind outside the core in addition to a solid angular deficit. In the $w_{q} = -{1/3}$ case, we have proved that the solution cannot exist since the density of quintessence-like tends to zero if $w_{q} \to -{1/3}$. As a new feature, these monopoles have the outer horizon depending on both Goldstone field and quintessence-like. Since current observations constrain $-1.14 < w_{q} < -0.93$, new global monopoles have interesting astrophysical applications.