  We explicitly derive a~vortex inspired solution for the metric perturbation
within the linearized Einsteins general theory of relativity in arbitrary
dimensions $D\geq 4$. We focus on $D=4$ where our solution is the gravitational
analog of the well-known electromagnetic (or electron) Bessel vortex beams.
Next we visualize the perturbed spacetime via tidal tendexes and frame-drag
vortexes. We display and analyze mostly two-dimensional sections of the
tendexes and the vortexes for different values of an angular momentum of the
wave solution. Corresponding geodesic deviation equations are solved and the
results are visualized. We show that the physically most important
quadrupolelike case leads to a~wave with rotating polarization. We discuss
asymptotical features of the found solution. We provide also several 3D plots
of tendex lines. One of them concerns a~special cylindrical-like case and we
utilize the topological classification of singularities of the depicted line
fields as an approach to characterize the radiation field.

General Relativity and Quantum Cosmology;Cosmology and Nongalactic Astrophysics