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Conditions for the occurence of strong curvature singularities

✍ Scribed by C.J.S. Clarke; A. Królak

Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
705 KB
Volume
2
Category
Article
ISSN
0393-0440

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✦ Synopsis

Necessary and sufficient conditions for the occurrence of strong curvature singularities as defined by Tipler and Królak are derived. It is shown that both necessary and sufficient conditions involve not only the divergence of tetrad components of the Riemann, Ricci or Weyl tensor but also the divergence of their integrals along nonspacelike geodesics running into the singularity.

📜 SIMILAR VOLUMES

Real structured singular value condition
Real structured singular value conditions for the strong D-stability
✍ Jietae Lee; Thomas F. Edgar 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 83 KB

Recently, Chen et al. (Systems Control Lett. 24 (1995) 19) proposed conditions for D-stability and strong D-stability in terms of structured singular values. In this paper, simpler conditions for the strong D-stability are derived.