Year: 2002
Type: article
Abstract: 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 ${M}_{*}\ensuremath{\sim}1/\ensuremath{\epsilon},$ 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 $m<8{\ensuremath{\pi}}^{2}{M}_{*}$ and $m>8{\ensuremath{\pi}}^{2}{M}_{*}$ 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 $m<8{\ensuremath{\pi}}^{2}{M}_{*}$ 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 $m>8{\ensuremath{\pi}}^{2}{M}_{*}$ form a black hole within ${1/M}_{*}$ distance from the brane.
Author: Marko Kolanović
Institution: New York University
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1954129170