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Conditions for defocusing around more general metrics in infinite derivative gravity

Research output: Contribution to journalJournal article

Published
Article number084046
<mark>Journal publication date</mark>26/04/2018
<mark>Journal</mark>Physical Review D
Issue number8
Volume97
Number of pages6
Publication statusPublished
Original languageEnglish

Abstract

Infinite derivative gravity is able to resolve the big bang curvature singularity present in general relativity by using a simplifying ansatz. We show that it can also avoid the Hawking-Penrose singularity, by allowing defocusing of null rays through the Raychaudhuri equation. This occurs not only in the minimal case where we ignore the matter contribution but also in the case where matter plays a key role. We investigate the conditions for defocusing for the general case where this ansatz applies and also for more specific metrics, including a general Friedmann-Robertson-Walker metric and three specific choices of the scale factor which produce a bouncing Friedmann-Robertson-Walker universe.

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© 2018 American Physical Society