Signature Change, Inflation, and the Cosmological Constant

Details Signature Change, Inflation, and the Cosmological Constant Signature Change, Inflation, and the Cosmological Constant

1998-06-27

arxiv.org/abs/gr-qc/9806109v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, Latex, no figures

Scientific paper

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 $S^4$, as the Euclidean manifold, and the cosmological constant leading to inflation after signature change is obtained.

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