  This paper is devoted to the construction of unstable D-brane action in
torsional Newton-Cartan background through T-duality along null direction. We
determine corresponding equations of motion and analyze their solution that
corresponds to lower dimensional non-relativistic D(p-1)-brane. We also find
Hamiltonian for unstable Dp-brane and study tachyon vacuum solutions that can
be interpreted as gas of non-relativistic strings.
