Dvali-Gabadadze-Porrati brane as a gravity conductor

I study how the DGP (Dvali-Gabadadze-Porrati) brane affects particle dynamics in the linearized approximation. I find that once the particle is removed from the brane it is repelled to the bulk. Assuming that the cutoff for the gravitational interaction is M_*∼1/ε, I calculate the classical self-energy of a particle as the function of its position. Since the particle wants to go to the region where its self-energy is lower, it is repelled from the brane to the bulk where it gains its 5D self-energy. Cases when the mass of the particle m<8π²M_* and m>8π²M_* are qualitatively different, and in the latter case, one has to take into account the effects of strong gravity. In both cases the particle is repelled from the brane. For m<8π²M_* I obtain the same result from the “electrostatic” analogue of the theory. In that language the mass (charge) in the bulk induces a charge distribution on the brane which shields the other side of the brane and provides a repulsive force. The DGP brane acts as a conducting plane in electrostatics (keeping in mind that in gravity different charges repel). The repulsive nature of the brane requires a certain localization mechanism. When the particle overcomes the localizing potential it rapidly moves to the bulk. Particles of mass m>8π²M_* form a black hole within 1/M_* distance from the brane.