{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,10]],"date-time":"2026-04-10T19:43:50Z","timestamp":1775850230944,"version":"3.50.1"},"reference-count":18,"publisher":"IOP Publishing","issue":"7","license":[{"start":{"date-parts":[[2019,3,15]],"date-time":"2019-03-15T00:00:00Z","timestamp":1552608000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/publishingsupport.iopscience.iop.org\/iop-standard\/v1"},{"start":{"date-parts":[[2019,3,15]],"date-time":"2019-03-15T00:00:00Z","timestamp":1552608000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/iopscience.iop.org\/info\/page\/text-and-data-mining"}],"funder":[{"name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","award":["PTDC\/MAT-ANA\/1275\/2014"],"award-info":[{"award-number":["PTDC\/MAT-ANA\/1275\/2014"]}]}],"content-domain":{"domain":["iopscience.iop.org"],"crossmark-restriction":false},"short-container-title":["Class. Quantum Grav."],"published-print":{"date-parts":[[2019,4,11]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>\n                    By solving a singular initial value problem, we prove the existence of solutions of the wave equation\n                    <jats:inline-formula\/>\n                    which are bounded at the Big Bang in the Friedmann\u2013Lema\u00eetre\u2013Robertson\u2013Walker cosmological models. More precisely, we show that given any function\n                    <jats:inline-formula\/>\n                    (where\n                    <jats:inline-formula\/>\n                    or\n                    <jats:inline-formula\/>\n                    models the spatial hypersurfaces) there exists a unique solution\n                    <jats:inline-formula\/>\n                    of the wave equation converging to\n                    <jats:italic>A<\/jats:italic>\n                    in\n                    <jats:inline-formula\/>\n                    at the Big Bang, and whose time derivative is suitably controlled in\n                    <jats:inline-formula\/>\n                    .\n                  <\/jats:p>","DOI":"10.1088\/1361-6382\/ab09b2","type":"journal-article","created":{"date-parts":[[2019,2,22]],"date-time":"2019-02-22T17:35:03Z","timestamp":1550856903000},"page":"075016","update-policy":"https:\/\/doi.org\/10.1088\/crossmark-policy","source":"Crossref","is-referenced-by-count":7,"title":["Solutions of the wave equation bounded at the Big Bang"],"prefix":"10.1088","volume":"36","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6799-9478","authenticated-orcid":false,"given":"Pedro M","family":"Gir\u00e3o","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0885-9867","authenticated-orcid":false,"given":"Jos\u00e9","family":"Nat\u00e1rio","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2669-615X","authenticated-orcid":false,"given":"Jorge Drumond","family":"Silva","sequence":"additional","affiliation":[]}],"member":"266","published-online":{"date-parts":[[2019,3,15]]},"reference":[{"key":"cqgab09b2bib001","doi-asserted-by":"publisher","first-page":"20140361","DOI":"10.1098\/rspa.2014.0361","type":"journal-article","article-title":"On the initial value problem for the wave equation in Friedmann\u2013Robertson\u2013Walker spacetimes","volume":"470","author":"Abbasi","year":"2014","journal-title":"Proc. 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All rights, including for text and data mining, AI training, and similar technologies, are reserved.","name":"copyright_information","label":"Copyright Information"},{"value":"2018-09-27","name":"date_received","label":"Date Received","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"2019-02-22","name":"date_accepted","label":"Date Accepted","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"2019-03-15","name":"date_epub","label":"Online publication date","group":{"name":"publication_dates","label":"Publication dates"}}]}}