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Fractality in cosmic topology models with spectral action gravity

Guicardi, Pedro and Marcolli, Matilde (2022) Fractality in cosmic topology models with spectral action gravity. Classical and Quantum Gravity, 39 (16). Art. No. 165007. ISSN 0264-9381. doi:10.1088/1361-6382/ac7d8c. https://resolver.caltech.edu/CaltechAUTHORS:20220705-671988000

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Abstract

We consider cosmological models based on the spectral action formulation of (modified) gravity. We analyze the coupled effects, in this model, of the presence of nontrivial cosmic topology and of fractality in the large scale structure of spacetime. We show that the topology constrains the possible fractal structures, and in turn the correction terms to the spectral action due to fractality distinguish the various cosmic topology candidates, with effects detectable in a slow-roll inflation scenario, through the power spectra of the scalar and tensor fluctuations. We also discuss explicit effects of the presence of fractal structures on the gravitational waves equations.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1088/1361-6382/ac7d8cDOIArticle
https://doi.org/10.48550/arXiv.2110.08878arXivDiscussion Paper
ORCID:
AuthorORCID
Marcolli, Matilde0000-0002-2045-2907
Additional Information:© 2022 IOP Publishing Ltd. As the Version of Record of this article is going to be/has been published on a subscription basis, this Accepted Manuscript will be available for reuse under a CC BY-NC-ND 3.0 licence after a 12 month embargo period. Received 30 October 2021. Revised 10 February 2022. Accepted 30 June 2022. Accepted Manuscript online 30 June 2022. This work was supported by NSF grants DMS-1707882 and DMS-2104330. The first author acknowledges support from the Caltech WAVE program for undergraduate research. We thank the referees for their careful reading of the manuscript and for helpful comments.
Funders:
Funding AgencyGrant Number
NSFDMS-1707882
NSFDMS-2104330
Caltech WAVE FellowshipUNSPECIFIED
Issue or Number:16
DOI:10.1088/1361-6382/ac7d8c
Record Number:CaltechAUTHORS:20220705-671988000
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20220705-671988000
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:115315
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:08 Jul 2022 22:14
Last Modified:31 Aug 2022 23:57

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