  In this paper, we perform a systematic analysis of tachyon condensation over
string Newton-Cartan (NC) geometry by probing the background with non BPS $ Dp
$ brane. We construct the \textit{finite} tachyon effective action for NC
geometry and explore the dynamics associated with the tachyon kink on the
world-volume of the non BPS $ Dp $ brane. We show that under certain specific
assumptions, the spatial dependent tachyon condensation leads to an emerging
BPS $ D(p-1) $ brane dynamics over NC background. We further compute the strees
energy tensor and show the equivalence between two different $ Dp $ brane
configurations in the NC limit.
