  In this paper, we are interested in exploring the existence of stealth
configurations on anisotropic backgrounds playing a prominent role in the
non-relativistic version of the gauge/gravity correspondence. By stealth
configuration, we mean a nontrivial scalar field nonminimally coupled to
gravity whose energy-momentum tensor evaluated on the anisotropic background
vanishes identically. In the case of a Lifshitz spacetime with a nontrivial
dynamical exponent z, we spotlight the role played by the anisotropy to
establish the holographic character of the stealth configurations, i.e. the
scalar field is shown to only depend on the radial holographic direction. This
configuration which turns out to be massless and without integration constants
is possible for a unique value of the nonminimal coupling parameter. Then,
using a simple conformal argument, we map this configuration into a stealth
solution defined on the so-called hyperscaling violation metric which is
conformally related to the Lifshitz spacetime. This holographic configuration
obtained through a conformal mapping constitutes only a particular class within
the stealth solutions defined on the hyperscaling violation as it is shown by
deriving the most general stealth configurations. The case of the Schrodinger
background is also exhaustively analyzed and we establish that the presence of
the null direction makes their stealth configurations not necessarily
holographic in general and characterized by a self-interacting behavior.
Finally, for completeness we also study the stealth configurations on the
Schrodinger inspired hyperscaling violation spacetimes.
