  We have investigated and verified the existence of stable uncharged
Bogomol'nyi-Prasad-Sommerfeld (BPS) vortices in the framework of an Abelian
Maxwell-Higgs model supplemented with CPT-even and Lorentz-violating (LV) terms
belonging to the gauge and Higgs sectors of the standard model extension. The
analysis is performed in two situations: first, one by considering the Lorentz
violation only in the gauge sector and then in both gauge and Higgs sectors. In
the first case, it is observed that the model supports vortices somehow
equivalent to the ones appearing in a dielectric medium. The Lorentz violation
controls the radial extension (core of the solution) and the magnetic field
amplitude of the Abrikosov-Nielsen-Olesen vortices, yielding compactlike
defects in an alternative and simpler way than that of $k-$field models. At the
end, we consider the Lorentz-violating terms in the gauge and Higgs sectors. It
is shown that the full model also supports compactlike uncharged BPS vortices
in a modified vacuum, but this time there are two LV parameters controlling the
defect structure. Moreover, an interesting novelty is introduced by the
LV-Higgs sector: fractional vortex solutions.
