Fewster, Chris orcid.org/0000-0001-8915-5321 and Kontou, Eleni orcid.org/0000-0003-4409-8188 (2020) A new derivation of singularity theorems with weakened energy hypotheses. Classical and Quantum Gravity. 065010. ISSN 1361-6382
Abstract
The original singularity theorems of Penrose and Hawking were proved for matter obeying the Null Energy Condition or Strong Energy Condition respectively. Various authors have proved versions of these results under weakened hypotheses, by considering the Riccati inequality obtained from Raychaudhuri's equation. Here, we give a different derivation that avoids the Raychaudhuri equation but instead makes use of index form methods. We show how our results improve over existing methods and how they can be applied to hypotheses inspired by Quantum Energy Inequalities. In this last case, we make quantitative estimates of the initial conditions required for our singularity theorems to apply.
Metadata
Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2020 The Author(s). Published by IOP Publishing Ltd | ||||
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Institution: | The University of York | ||||
Academic Units: | The University of York > Faculty of Sciences (York) > Mathematics (York) | ||||
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Depositing User: | Pure (York) | ||||
Date Deposited: | 07 Jan 2020 13:20 | ||||
Last Modified: | 06 Dec 2023 13:29 | ||||
Published Version: | https://doi.org/10.1088/1361-6382/ab685b | ||||
Status: | Published | ||||
Refereed: | Yes | ||||
Identification Number: | https://doi.org/10.1088/1361-6382/ab685b |
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