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Periods and Motives in the Spectral Action of Robertson–Walker Spacetimes

Farzad Fathi Zadeh, Matilde Marcolli

Communications in Mathematical Physics, Volume: 356, Issue: 2, Pages: 641 - 671

Swansea University Author: Farzad Fathi Zadeh

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DOI (Published version): 10.1007/s00220-017-2991-x

Abstract

We consider a general expansion factor in the Robertson-Walker cosmological model as an affine variable and prove that each coefficient in the spectral action is the period of a mixed Tate motive.

Published in: Communications in Mathematical Physics
ISSN: 0010-3616 1432-0916
Published: Springer Science and Business Media LLC 2017
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URI: https://cronfa.swan.ac.uk/Record/cronfa40165
first_indexed 2018-05-15T12:36:13Z
last_indexed 2020-10-28T03:53:14Z
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spelling 2020-10-27T14:35:15.0442210 v2 40165 2018-05-15 Periods and Motives in the Spectral Action of Robertson–Walker Spacetimes c1859f5040a279bcd3fa991d8f6e7f21 Farzad Fathi Zadeh Farzad Fathi Zadeh true false 2018-05-15 MACS We consider a general expansion factor in the Robertson-Walker cosmological model as an affine variable and prove that each coefficient in the spectral action is the period of a mixed Tate motive. Journal Article Communications in Mathematical Physics 356 2 641 671 Springer Science and Business Media LLC 0010-3616 1432-0916 Dirac-Laplacian, Robertson-Walker metrics, spectral action, periods, motives 1 12 2017 2017-12-01 10.1007/s00220-017-2991-x COLLEGE NANME Mathematics and Computer Science School COLLEGE CODE MACS Swansea University 2020-10-27T14:35:15.0442210 2018-05-15T12:13:27.7351590 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Farzad Fathi Zadeh 1 Matilde Marcolli 2 0040165-17052018165517.pdf MotivesRW.pdf 2018-05-17T16:55:17.2100000 Output 417508 application/pdf Accepted Manuscript true 2018-09-20T00:00:00.0000000 true eng
title Periods and Motives in the Spectral Action of Robertson–Walker Spacetimes
spellingShingle Periods and Motives in the Spectral Action of Robertson–Walker Spacetimes
Farzad Fathi Zadeh
title_short Periods and Motives in the Spectral Action of Robertson–Walker Spacetimes
title_full Periods and Motives in the Spectral Action of Robertson–Walker Spacetimes
title_fullStr Periods and Motives in the Spectral Action of Robertson–Walker Spacetimes
title_full_unstemmed Periods and Motives in the Spectral Action of Robertson–Walker Spacetimes
title_sort Periods and Motives in the Spectral Action of Robertson–Walker Spacetimes
author_id_str_mv c1859f5040a279bcd3fa991d8f6e7f21
author_id_fullname_str_mv c1859f5040a279bcd3fa991d8f6e7f21_***_Farzad Fathi Zadeh
author Farzad Fathi Zadeh
author2 Farzad Fathi Zadeh
Matilde Marcolli
format Journal article
container_title Communications in Mathematical Physics
container_volume 356
container_issue 2
container_start_page 641
publishDate 2017
institution Swansea University
issn 0010-3616
1432-0916
doi_str_mv 10.1007/s00220-017-2991-x
publisher Springer Science and Business Media LLC
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Mathematics and Computer Science - Mathematics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Mathematics
document_store_str 1
active_str 0
description We consider a general expansion factor in the Robertson-Walker cosmological model as an affine variable and prove that each coefficient in the spectral action is the period of a mixed Tate motive.
published_date 2017-12-01T13:35:02Z
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score 11.047674

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