{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,2]],"date-time":"2026-06-02T13:53:57Z","timestamp":1780408437822,"version":"3.54.1"},"reference-count":58,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2022,3,17]],"date-time":"2022-03-17T00:00:00Z","timestamp":1647475200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12101168"],"award-info":[{"award-number":["12101168"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004731","name":"Zhejiang Provincial Natural Science Foundation","doi-asserted-by":"publisher","award":["LQ22A010014"],"award-info":[{"award-number":["LQ22A010014"]}],"id":[{"id":"10.13039\/501100004731","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>The present paper aims to deliberate the geometric composition of a perfect fluid spacetime with torse-forming vector field \u03be in connection with conformal Ricci\u2013Yamabe metric and conformal \u03b7-Ricci\u2013Yamabe metric. We delineate the conditions for conformal Ricci\u2013Yamabe soliton to be expanding, steady or shrinking. We also discuss conformal Ricci\u2013Yamabe soliton on some special types of perfect fluid spacetime such as dust fluid, dark fluid and radiation era. Furthermore, we design conformal \u03b7-Ricci\u2013Yamabe soliton to find its characteristics in a perfect fluid spacetime and lastly acquired Laplace equation from conformal \u03b7-Ricci\u2013Yamabe soliton equation when the potential vector field \u03be of the soliton is of gradient type. Overall, the main novelty of the paper is to study the geometrical phenomena and characteristics of our newly introduced conformal Ricci\u2013Yamabe and conformal \u03b7-Ricci\u2013Yamabe solitons to apply their existence in a perfect fluid spacetime.<\/jats:p>","DOI":"10.3390\/sym14030594","type":"journal-article","created":{"date-parts":[[2022,3,20]],"date-time":"2022-03-20T21:37:17Z","timestamp":1647812237000},"page":"594","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":32,"title":["Geometrical Structure in a Perfect Fluid Spacetime with Conformal Ricci\u2013Yamabe Soliton"],"prefix":"10.3390","volume":"14","author":[{"given":"Pengfei","family":"Zhang","sequence":"first","affiliation":[{"name":"College of Teacher Education, Harbin Normal University, Harbin 150025, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1614-3228","authenticated-orcid":false,"given":"Yanlin","family":"Li","sequence":"additional","affiliation":[{"name":"School of Mathematics, Hangzhou Normal University, Hangzhou 311121, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2236-8482","authenticated-orcid":false,"given":"Soumendu","family":"Roy","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Jadavpur University, Kolkata 700032, India"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2601-3788","authenticated-orcid":false,"given":"Santu","family":"Dey","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Bidhan Chandra College, Asansol 713304, India"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7053-4265","authenticated-orcid":false,"given":"Arindam","family":"Bhattacharyya","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Jadavpur University, Kolkata 700032, India"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2022,3,17]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"255","DOI":"10.4310\/jdg\/1214436922","article-title":"Three Manifold with positive Ricci curvature","volume":"17","author":"Hamilton","year":"1982","journal-title":"J. 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