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.
Categories: gr-qc astro-ph hep-th