{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,2]],"date-time":"2026-04-02T01:53:36Z","timestamp":1775094816915,"version":"3.50.1"},"reference-count":58,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2025,1,1]],"date-time":"2025-01-01T00:00:00Z","timestamp":1735689600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Atlantic Association of Research in Mathematical Sciences (AARMS) fellowship"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In this paper, we find several teleparallel F(T,B) solutions for a Robertson\u2013Walker (TRW) cosmological spacetime. We first set and solve the F(T,B)-type field equations for a linear perfect fluid. Using similar techniques, we then find new F(T,B) solutions for non-linear perfect fluids with a weak quadratic correction term to the linear equation of state (EoS). Finally, we solve for new classes of F(T,B) solutions for a scalar field source by assuming a power-law scalar field and then an exponential scalar field in terms of the time coordinate. For flat cosmological cases (k=0 cases), we find new exact and approximate F(T,B) solutions. For non-flat cases (k=\u00b11 cases), we only find new teleparallel F(T,B) solutions for some specific and well-defined cosmological expansion subcases. We conclude by briefly discussing the impact of these new teleparallel solutions on cosmological processes such as dark energy (DE) quintessence and phantom energy models.<\/jats:p>","DOI":"10.3390\/sym17010060","type":"journal-article","created":{"date-parts":[[2025,1,1]],"date-time":"2025-01-01T13:37:51Z","timestamp":1735738671000},"page":"60","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Cosmological Solutions in Teleparallel F(T, B) Gravity"],"prefix":"10.3390","volume":"17","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2979-0531","authenticated-orcid":false,"given":"Fateme","family":"Gholami","sequence":"first","affiliation":[{"name":"Department of Mathematics and Statistics, Dalhousie University, Halifax, NS B3H 3J5, Canada"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1046-439X","authenticated-orcid":false,"given":"Alexandre","family":"Landry","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, Dalhousie University, Halifax, NS B3H 3J5, Canada"}]}],"member":"1968","published-online":{"date-parts":[[2025,1,1]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"183001","DOI":"10.1088\/1361-6382\/ab2e1f","article-title":"Teleparallel Theories of Gravity: Illuminating a Fully Invariant Approach","volume":"36","author":"Pereira","year":"2019","journal-title":"Class. 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