Locally localized gravity models in higher dimensions

Feb, 2001
20 pages
Published in:
  • Phys.Rev.D 64 (2001) 026002
e-Print:
Report number:
  • EDO-EP-36

Citations per year

2001200720132019202302468
Abstract:
We explore the possibility of generalizing the locally localized gravity model in five space-time dimensions to arbitrary higher dimensions. In a space-time with negative cosmological constant, there are essentially two kinds of higher-dimensional cousins which not only take an analytic form but also are free from the naked curvature singularity in a whole bulk space-time. One cousin is a trivial extension of five-dimensional model, while the other one is in essence in higher dimensions. One interesting observation is that in the latter model, only anti-de Sitter (AdSpAdS_p) brane is physically meaningful whereas de Sitter (dSpdS_p) and Minkowski (MpM_p) branes are dismissed. Moreover, for AdSpAdS_p brane in the latter model, we study the property of localization of various bulk fields on a single brane. In particular, it is shown that the presence of the brane cosmological constant enables bulk gauge field and massless fermions to confine to the brane only by a gravitational interaction. We find a novel relation between mass of brane gauge field and the brane cosmological constant.
Note:
  • 20 pages, LaTex 2e, revised version (to appear in Phys. Rev. D) Report-no: EDO-EP-36
  • gravitation
  • field theory: scalar
  • fermion
  • gauge field theory: U(1)
  • higher-dimensional
  • Einstein equation: solution
  • fluctuation