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Mathematics
Article . 2023 . Peer-reviewed
License: CC BY
Data sources: Crossref
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Mathematics
Article . 2023
Data sources: DOAJ
https://dx.doi.org/10.48550/ar...
Article . 2023
License: arXiv Non-Exclusive Distribution
Data sources: Datacite
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Trans-Planckian Censorship and Spacetime Singularities

Authors: Spiros Cotsakis; John Miritzis;

Trans-Planckian Censorship and Spacetime Singularities

Abstract

We study the effects of trans-Planckian censorship conjecture (TCC) bounds on geodesic completeness of spacetime and the associated existence for an infinite proper time. Using Gronwall’s lemma, TCC bounds can be derived directly, leading to a result about the absence of blowup solutions. We show that the TCC provides part of the required criteria for geodesic completeness, and we then provide the remaining ones, the norm of the extrinsic curvature being bounded away from zero. We also discuss the importance of these results for the classical evolution of Friedmann universes under the assumptions of global and regular hyperbolicity.

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Keywords

High Energy Physics - Theory, High Energy Physics - Theory (hep-th), QA1-939, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), Mathematics, General Relativity and Quantum Cosmology, trans-planckian censorship, spacetime singularities

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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gold