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21 January 2025 |
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Spacetime singularities and curvature blow-ups | | István Rácz
; | | Date: |
2 Jan 2023 | | Abstract: | The singularity theorems of Penrose, Hawking, and Geroch predict the
existence of incomplete inextendible causal geodesics in a wide range of
physically adequate spacetimes modeling the gravitational collapse of stars and
the expanding universe. Here, using results on spacetime extensions, it is
shown that if a suitable low regular form of the strong cosmic censor
hypothesis holds, then parallelly propagated blow-up of either the tidal force
or frame-drag part of the curvature must occur in ’’generic’’ timelike
geodesically incomplete maximal Cauchy developments. | | Source: | arXiv, 2301.00572 | | Services: | Forum | Review | PDF | Favorites | |
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