Singularity Theorems and Their Consequences

1998/05/01 by José M. M. Senovilla · 281 citations
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Differential geometry #Essential singularity #Initial singularity #Mathematical and Theoretical Analysis #Mathematics and Applications #Singularity #Singularity theory #gr-qc

paper · pdf · doi:10.1023/a:1018801101244

published in General Relativity and Gravitation 30(5), 701-848 (Springer Science+Business Media) · PDF file correcting an error in the bibliographical information that appears in the journal's online version. 148 pages, 17 figures, 247 references. Review on singularities that was published in the GRG journal in 1998

openalex publication_date 1998/05/01 · openalex created_date 2016/06/24 · arxiv created 2018/01/12 · arxiv updated 2018/01/17 · openalex updated_date 2026/08/05

Abstract

This is a 20-year old review on singularities and singularity theorems. The main reason to submit it now is -apart from increasing its availability- to correct a very strange error that appears in the journal's online version: it contains wrong headers and footers in its 1st page. This has led to many wrong citations, and to some confusion. The pdf file here contains the right information. ORIGINAL ABSTRACT: A detailed study of the singularity theorems is presented. I discuss the plausibility and reasonability of their hypotheses, the applicability and implications of the theorems, as well as the theorems themselves. The consequences usually extracted from them, some of them without the necessary rigour, are widely and carefully analysed with many clarifying examples and alternative views.

Citations

• Oscillatory approach to a singular point in the relativistic cosmology

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