1998/06/27 by Reza Mansouri, Kourosh Nozari, Mansouri, Reza +1
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Solar and Space Plasma Dynamics #gr-qc
paper · pdf · doi:10.48550/arxiv.gr-qc/9806109
15 pages, Latex, no figures
arxiv created 1998/06/27 · openalex publication_date 1998/06/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.