  We numerically investigate low-energy stationary states of pseudospin-1
Bose-Einstein condensates in the presence of Rashba-Dresselhaus-type spin-orbit
coupling. We show that for experimentally feasible parameters and strong
spin-orbit coupling, the ground state is a square vortex lattice irrespective
of the nature of the spin-dependent interactions. For weak spin-orbit coupling,
the lowest-energy state may host a single vortex. Furthermore, we analytically
derive constraints that explain why certain stationary states do not emerge as
ground states. Importantly, we show that the distinct stationary states can be
observed experimentally by standard time-of-flight spinindependent absorption
imaging.
