Activities per year
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.
Original language | English |
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Article number | 065010 |
Journal | Classical and Quantum Gravity |
Volume | 37 |
Issue number | 6 |
Early online date | 18 Feb 2020 |
DOIs | |
Publication status | Published - 19 Mar 2020 |
Bibliographical note
© 2020 The Author(s). Published by IOP Publishing LtdProfiles
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Singularity theorems
Chris Fewster (Keynote/plenary speaker)
30 Mar 2022Activity: Talk or presentation › Invited talk
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Singularity theorems under weakened energy conditions inspired by quantum field theory
Chris Fewster (Speaker)
14 Jun 2021Activity: Talk or presentation › Talk
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Singularity theorems with weakened energy hypotheses inspired by QFT
Chris Fewster (Invited speaker)
11 Mar 2020Activity: Talk or presentation › Invited talk
Projects
- 1 Finished
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QuEST: Quantum Energy Conditions and Singularity Theorems
1/09/17 → 31/08/19
Project: Research project (funded) › Research