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Paper   IPM / P / 7146
School of Physics
  Title:   Signature Change, Inflation and the Cosmological Constant
1.  R. Mansouri
2.  K. Nozari
  Status:   Preprint
  No.:  0
  Year:  1998
  Supported by:  IPM
Colombeau's generalized functions are used to adapt the distributional approach to singular hypersurfaces in general relativity with signature change. Equations governing the dynamics of singular hypersurface is obtained and it is shown that matching leads to de Sitter space for the Lorentzian region. The matching is possible for different sections of the de Sitter hyperboloid. A relation between the radius of S4, as the Euclidean manifold, and the cosmological constant leading to inflation after signature change is obtained.

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