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GRAVITATIONAL COLLISION OF PARTICLES WITH DOMAIN WALLS AND RELATIVISTIC POTENTIALS // Tomsk State Pedagogical University Bulletin. 2014. Issue 12 (153). P. 70-79

We consider collision of a point particle with an infinitely thin planar domain wall within the linear and post-linear approximations of Einstein classical gravity in Minkowski space-time of arbitrary dimension. Both colliding objects are treated dynamically and the branon excitation of the domain wall is taken into account. The energy balance in this process is non-trivial since the interaction force does not fall with distance and the particle and the domain wall are never free. We show that contribution of the gravitational stresses effectively localizes on the particle and the wall world-volumes and gives rise to the relativistic potential energies of each object in the gravitational field of the partner. The contribution of the branons to the energy of the domain wall in the lowest order in gravitational constant is shown to be zero.

Keywords: gravitation, branes, domain walls, conservation laws