Time-like Extra Dimensions without Tachyons or Ghosts

Details Time-like Extra Dimensions without Tachyons or Ghosts Time-like Extra Dimensions without Tachyons or Ghosts

2000-12-06

arxiv.org/abs/hep-th/0012049v2

Phys.Lett. B515 (2001) 477-482

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, revtex

Scientific paper

10.1016/S0370-2693(01)00884-X

Some time ago Dvali, Gabadadze and Senjanovic (hep-ph/9910207) discussed brane world scenarios with time-like extra dimensions. In this paper we construct a solitonic 3-brane solution in the 5-dimensional Einstein-Hilbert-Gauss-Bonnet theory with the space-time signature (-,+,+,+,-). The direction transverse to the brane is the second time-like direction. The solitonic brane is $\delta$-function like, and has the property that gravity is completely localized on the brane. That is, there are no propagating degrees of freedom in the bulk, while on the brane we have purely 4-dimensional Einstein gravity. In particular, there are no propagating tachyonic or negative norm states even though the extra dimension is time-like.

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