Time-Like Extra Dimension and Cosmological Constant in Brane Models

Abstract

We discuss the general models with one time-like extra dimension and parallel 3-branes on the space-time $M^4\times M^1$. We also construct the general brane models or networks with $n$ space-like and $m$ time-like extra dimensions and with constant bulk cosmological constant on the space-time $M^4\times (M^1{)}^{n+m}$, and point out that there exist two kinds of models with zero bulk cosmological constant: for static solutions, we have to introduce time-like and space-like extra dimensions, and for non-static solutions, we can obtain the models with only space-like extra dimension(s). In addition, we give two simplest models explicitly, and comment on the 4-dimensional effective cosmological constant.

Latex, 15 pages, version to appear in PLB

References in corpus (2)

• The Hierarchy Problem and New Dimensions at a Millimeter
• New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV

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• 3+2 Cosmology: unifying FRW metrics in the bulk
• Bulk Scale Factor at Very Early Universe
• Modern cosmologies from empty Kaluza-Klein solutions in 5D