The spin and charge texture around doped holes in the two-dimensional Hubbard
model is calculated within an unrestricted spin rotational invariant
slave-boson approach. In the first part we examine in detail the spin structure
around two holes doped in the half-filled system where we have studied cluster
sizes up to 10 x 10. It turns out that the most stable configuration
corresponds to a vortex-antivortex pair which has lower energy than the
Neel-type bipolaron even when one takes the far field contribution into
account. We also obtain skyrmions as local minima of the energy functional but
with higher total energy than the vortex solutions. Additionally we have
investigated the stability of elliptical domain walls for commensurate hole
concentrations. We find that (i) these phases correspond to local minima of the
energy functional only in case of partially filled walls, (ii) elliptical
domain walls are only stable in the low doping regime.Comment: 7 pages, 6 figures, accepted for Phys. Rev.