  We investigate the energy-momentum balance in the perforating collision of a
point particle with an infinitely thin planar domain wall within the linearized
gravity in arbitrary dimensions. Since the metric of the wall increases with
distance, the wall and the particle are never free, and their energy-momentum
balance involves not only the instantaneous kinetic momenta, but also the
non-local contribution of gravitational stresses. However, careful analysis
shows that the stresses can be unambiguously divided between the colliding
objects leading to definition of the gravitationally dressed momenta. These
take into account for gravity in the same way as the potential energy does in
the non-relativistic theory, but our treatment is fully relativistic. Another
unusual feature of our problem is the non-vanishing flux of the total
energy-momentum tensor through the lateral surface of the world tube. In this
case the zero divergence of the energy-momentum tensor does not imply
conservation of the total momentum defined as the integral over the space-like
section of the tube. But one can still define the conservation low
infinitesimally, passing to time derivatives of the momenta. Using this
definition we establish the momentum balance in terms of the dressed particle
and wall momenta.
