  We calculate the renormalized vacuum energy of a massless scalar field
confined between two nearby parallel plates formed by ideal uncharged
conductors, placed tangentially to the surface of a sphere with mass M and
radius R. This study will take into account the static and spherically
symmetric solution of Horava-Lifshitz gravity found by Kehagias-Sfetsos (KS),
in both weak field and infrared limits. A slight amplification of the Casimir
force between the conducting plates is found. Thermal corrections to the
Casimir energy are analyzed. Based on current Casimir effect measurements, a
constraint on the $\omega$ parameter of KS metric is also obtained.
