<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article SYSTEM "http://jats.nlm.nih.gov/archiving/1.2/JATS-archivearticle1.dtd"><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="1.2" article-type="research-article" xml:lang="en"><?properties open_access?><front><journal-meta><journal-id journal-id-type="publisher-id">13130</journal-id><journal-id journal-id-type="doi">10.1007/13130.1029-8479</journal-id><journal-title-group><journal-title>Journal of High Energy Physics</journal-title><abbrev-journal-title abbrev-type="publisher">J. High Energ. Phys.</abbrev-journal-title></journal-title-group><issn pub-type="epub">1029-8479</issn><publisher><publisher-name>Springer Berlin Heidelberg</publisher-name><publisher-loc>Berlin/Heidelberg</publisher-loc></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">JHEP07(2024)217</article-id><article-id pub-id-type="manuscript">24054</article-id><article-id pub-id-type="arxiv">2403.20332</article-id><article-id pub-id-type="doi">10.1007/JHEP07(2024)217</article-id><article-categories><subj-group subj-group-type="heading"><subject>Regular Article - Theoretical Physics</subject></subj-group></article-categories><title-group><article-title xml:lang="en">Self gravitating spinning string condensates</article-title></title-group><contrib-group><contrib contrib-type="author" id="Au1"><name><surname>Santos</surname><given-names>Jorge E.</given-names></name><xref ref-type="aff" rid="Aff1">1</xref></contrib><contrib contrib-type="author" corresp="yes" id="Au2"><name><surname>Zigdon</surname><given-names>Yoav</given-names></name><xref ref-type="aff" rid="Aff1">1</xref><xref ref-type="corresp" rid="IDJHEP072024217_cor2">b</xref></contrib><aff id="Aff1"><label>1</label><institution-wrap><institution-id institution-id-type="ROR">https://ror.org/013meh722</institution-id><institution-id institution-id-type="GRID">grid.5335.0</institution-id><institution-id institution-id-type="ISNI">0000 0001 2188 5934</institution-id><institution content-type="org-division">DAMTP, Centre for Mathematical Sciences</institution><institution content-type="org-name">University of Cambridge</institution></institution-wrap><addr-line content-type="street">Wilberforce Road</addr-line><addr-line content-type="postcode">CB3 0WA</addr-line><addr-line content-type="city">Cambridge</addr-line><country country="GB">UK</country></aff></contrib-group><author-notes><corresp id="IDJHEP072024217_cor2"><label>b</label><email>yz910@cam.ac.uk</email></corresp></author-notes><pub-date date-type="pub" publication-format="electronic"><day>24</day><month>7</month><year>2024</year></pub-date><pub-date date-type="collection" publication-format="electronic"><month>7</month><year>2024</year></pub-date><volume>2024</volume><issue seq="217">7</issue><elocation-id>217</elocation-id><history><date date-type="registration"><day>24</day><month>7</month><year>2024</year></date><date date-type="received"><day>23</day><month>5</month><year>2024</year></date><date date-type="accepted"><day>3</day><month>7</month><year>2024</year></date><date date-type="online"><day>24</day><month>7</month><year>2024</year></date></history><permissions><copyright-statement>© The Author(s) 2024</copyright-statement><copyright-year>2024</copyright-year><license license-type="open-access" xlink:href="http://creativecommons.org/licenses/by/4.0/"><license-p><bold>Open Access</bold>. This article is distributed under the terms of the Creative Commons Attribution License (<ext-link xlink:href="http://creativecommons.org/licenses/by/4.0/" ext-link-type="url">CC-BY 4.0</ext-link>), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.</license-p></license></permissions><abstract id="Abs1" xml:lang="en"><title>A<sc>bstract</sc></title><p id="Par1">In the context of the black hole/string transition, it is useful to produce Euclidean string backgrounds representing hot and self-gravitating strings. We utilise analytical and numerical methods to find a smooth, stationary rotating solution in the heterotic string theory at high temperatures. The solution describes a spinning winding-momentum condensate living in three non-compact dimensions, and its backreaction on the thermal cycle. At low temperatures, we expect a transition between our solution to an analytical continuation of an axionic Kerr black hole.</p></abstract><kwd-group xml:lang="en"><title>K<sc>eywords</sc></title><kwd>Black Holes in String Theory</kwd><kwd>Effective Field Theories</kwd><kwd>Long Strings</kwd><kwd>Tachyon Condensation</kwd></kwd-group><custom-meta-group><custom-meta><meta-name>publisher-imprint-name</meta-name><meta-value>Springer</meta-value></custom-meta><custom-meta><meta-name>volume-issue-count</meta-name><meta-value>12</meta-value></custom-meta><custom-meta><meta-name>issue-article-count</meta-name><meta-value>210</meta-value></custom-meta><custom-meta><meta-name>issue-toc-levels</meta-name><meta-value>0</meta-value></custom-meta><custom-meta><meta-name>issue-pricelist-year</meta-name><meta-value>2024</meta-value></custom-meta><custom-meta><meta-name>issue-copyright-holder</meta-name><meta-value>SISSA, Trieste, Italy</meta-value></custom-meta><custom-meta><meta-name>issue-copyright-year</meta-name><meta-value>2021</meta-value></custom-meta><custom-meta><meta-name>article-contains-esm</meta-name><meta-value>No</meta-value></custom-meta><custom-meta><meta-name>article-numbering-style</meta-name><meta-value>ContentOnly</meta-value></custom-meta><custom-meta><meta-name>article-registration-date-year</meta-name><meta-value>2024</meta-value></custom-meta><custom-meta><meta-name>article-registration-date-month</meta-name><meta-value>7</meta-value></custom-meta><custom-meta><meta-name>article-registration-date-day</meta-name><meta-value>24</meta-value></custom-meta><custom-meta><meta-name>article-toc-levels</meta-name><meta-value>0</meta-value></custom-meta><custom-meta><meta-name>toc-levels</meta-name><meta-value>0</meta-value></custom-meta><custom-meta><meta-name>volume-type</meta-name><meta-value>Regular</meta-value></custom-meta><custom-meta><meta-name>journal-product</meta-name><meta-value>ArchiveJournal</meta-value></custom-meta><custom-meta><meta-name>numbering-style</meta-name><meta-value>Unnumbered</meta-value></custom-meta><custom-meta><meta-name>article-grants-type</meta-name><meta-value>OpenChoice</meta-value></custom-meta><custom-meta><meta-name>metadata-grant</meta-name><meta-value>OpenAccess</meta-value></custom-meta><custom-meta><meta-name>abstract-grant</meta-name><meta-value>OpenAccess</meta-value></custom-meta><custom-meta><meta-name>bodypdf-grant</meta-name><meta-value>OpenAccess</meta-value></custom-meta><custom-meta><meta-name>bodyhtml-grant</meta-name><meta-value>OpenAccess</meta-value></custom-meta><custom-meta><meta-name>bibliography-grant</meta-name><meta-value>OpenAccess</meta-value></custom-meta><custom-meta><meta-name>esm-grant</meta-name><meta-value>OpenAccess</meta-value></custom-meta><custom-meta><meta-name>online-first</meta-name><meta-value>false</meta-value></custom-meta><custom-meta><meta-name>pdf-file-reference</meta-name><meta-value>BodyRef/PDF/13130_2024_Article_24054.pdf</meta-value></custom-meta><custom-meta><meta-name>pdf-type</meta-name><meta-value>Typeset</meta-value></custom-meta><custom-meta><meta-name>target-type</meta-name><meta-value>OnlinePDF</meta-value></custom-meta><custom-meta><meta-name>issue-type</meta-name><meta-value>Regular</meta-value></custom-meta><custom-meta><meta-name>article-type</meta-name><meta-value>OriginalPaper</meta-value></custom-meta><custom-meta><meta-name>journal-subject-primary</meta-name><meta-value>Physics</meta-value></custom-meta><custom-meta><meta-name>journal-subject-secondary</meta-name><meta-value>Elementary Particles, Quantum Field Theory</meta-value></custom-meta><custom-meta><meta-name>journal-subject-secondary</meta-name><meta-value>Quantum Field Theories, String Theory</meta-value></custom-meta><custom-meta><meta-name>journal-subject-secondary</meta-name><meta-value>Classical and Quantum Gravitation, Relativity Theory</meta-value></custom-meta><custom-meta><meta-name>journal-subject-secondary</meta-name><meta-value>Quantum Physics</meta-value></custom-meta><custom-meta><meta-name>journal-subject-collection</meta-name><meta-value>Physics and Astronomy</meta-value></custom-meta><custom-meta><meta-name>open-access</meta-name><meta-value>true</meta-value></custom-meta></custom-meta-group></article-meta><notes notes-type="Misc"><p>A<sc>r</sc>X<sc>iv e</sc>P<sc>rint</sc>: <ext-link xlink:href="https://doi.org/10.48550/arXiv.2403.20332" ext-link-type="url">2403.20332</ext-link></p></notes></front><back><ack><title>Acknowledgments</title><p>We thank Ramy Brustein, Yiming Chen, Gary Horowitz, Roberto Emparan, Raghu Mahajan, Emil Martinec, Sameer Murthy, Ashoke Sen, Kostas Skenderis, Marija Tomašević and David Turton for helpful discussions, and Óscar Dias for comments on an earlier version of this work. 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