Dvali-Gabadadze-Porrati brane as a gravity conductor

Abstract

We study how the DGP (Dvali-Gabadadze-Porrati) brane affects particle dynamics in linearized approximation. We find that once the particle is removed from the brane it is repelled to the bulk. Assuming that the cutoff for gravitational interaction is M * ∼ 1/ǫ, we 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 mass of the particle m < 8π 2 M * and m > 8π 2 M * are qualitatively different, and in later case one has to take into account effects of strong gravity. In both cases the particle is repelled from the brane. For m < 8π 2 M * we obtain the same result from the 'electrostatic' analog of the theory. In that language mass (charge) in the bulk induces charge distribution on the brane which shields the other side of the brane and provides 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 > 8π 2 M * form a black hole within 1/M * distance from the brane. *

Charged black holes on DGP brane

“…If we take the trace of (20), we get the Hamiltonian constraint (15). Note that the four-dimensional gravitational field equations (20) contains a term, E µν , which carries information of the gravitational field outside the brane.…”

“…However, in [15] the instability issue of the static uncharged black holes on the brane was raised. The brane with the induced graviton kinetic term has effectively repulsive gravity and thus push any sources off the brane.…”

Higher-dimensional DBI solitons

“…The asymptotic flatness of the solutions provide an interesting possibility of realizing the Dvali-Gabadadze-Porrati (DGP) [44] braneworld model in higher dimensions. There has recently been some studies of DGP-realization in models with bulk topological defects fields (see [45][46][47][48]). Indeed in ref.…”

Black hole solutions in warped DGP brane world

“…Several open questions remain. The black string solution suffers from a classical instability (Gregory 2000;Horowitz and Maeda 2001;James et al 2001;Kolanovic 2002), so it is not a correct bulk solution to describe a brane black hole. Therefore in the framework of the warped DGP brane-world model, it is interesting to investigate whether the black hole solution (34) is classically/quantum mechanically stable or not.…”