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We study the divergent terms and the finite term in the expansion of theholographic entanglement entropy as the ultraviolet cutoff vanishes for smoothspatial regions having arbitrary shape, when the gravitational background is afour dimensional asymptotically Lifshitz spacetime with hyperscaling violation,in a certain range of the hyperscaling parameter. Both static and timedependent backgrounds are considered. For the coefficients of the divergentterms and for the finite term, analytic expressions valid for any smoothentangling curve are obtained. The analytic results for the finite terms arechecked through a numerical analysis focussed on disks and ellipses.

On shape dependence of holographic entanglement entropy in AdS4/CFT3 with Lifshitz scaling and hyperscaling violation