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Junction equations for two spherically symmetric spacetimes and the distributional method

1999/11/11 by Samad Khakshournia, S. Khakshournia, Khakshournia, S. +2
Physics and Astronomy · #Advanced Differential Geometry Research #Astrophysics (astro-ph) #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons #astro-ph #gr-qc #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9911076

14 pages, no figure, Latex file

arxiv created 1999/11/11 · openalex publication_date 1999/11/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Applying the distributional formalism to study the dynamics of thin shells in general relativity, we regain the junction equations for matching of two spherically symmetric spacetimes separated by a singular hypersurface. In particular, we have shown how to define and insert the relevant sign functions in the junction equations corresponding to the signs of the extrinsic curvature tensor occurred in the Darmois-Israel method.

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