{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,31]],"date-time":"2026-03-31T05:56:22Z","timestamp":1774936582242,"version":"3.50.1"},"reference-count":91,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2023,1,23]],"date-time":"2023-01-23T00:00:00Z","timestamp":1674432000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Science Committee of the Ministry of Education and Science of the Republic of Kazakhstan","award":["AP09058240"],"award-info":[{"award-number":["AP09058240"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>Any new gravitational theories can be built with the help of a gauge theory with local Poincare symmetry. This local Poincare symmetry can set up a space-time with torsion. In the present study, the authors working on the parametrization approach towards Hubble\u2019s parameter in the frame of modified teleparallel Gauss-Bonnet gravity which is established on the torsion invariant T and the teleparallel equivalent of the Gauss-Bonnet term TG, say F(T,TG) gravity. In particular, gravity is responsible for an integrated explanation of the cosmological history from early-time inflation to late-time acceleration expansion, by lacking the addition of a cosmological constant. The domino effect acquired is reliable with recent cosmological outcomes. A transition scenario from a decelerating phase to an accelerating phase of cosmic evolution has been detected. Using the combined datasets (SNe-Ia+BAO+CMB+H(z)), we have constrained the transition redshift zt (at which the universe transit from a decelerating phase to an accelerating) and established the best fit value of zt. Next, we paralleled the renovated results of q(z) and \u03c9(z) and found that the outcomes are well-suited with a \u039bCDM universe.<\/jats:p>","DOI":"10.3390\/sym15020321","type":"journal-article","created":{"date-parts":[[2023,1,23]],"date-time":"2023-01-23T04:19:22Z","timestamp":1674447562000},"page":"321","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":17,"title":["Observational Constraints on F(T,TG) Gravity with Hubble\u2019s Parametrization"],"prefix":"10.3390","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4545-1975","authenticated-orcid":false,"given":"Salim","family":"Shekh","sequence":"first","affiliation":[{"name":"Department of Mathematics, S. P. M. Science and Gilani Arts, Commerce College, Ghatanji, Dist. Yavatmal, Maharashtra 445301, India"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8691-9939","authenticated-orcid":false,"given":"Nurgissa","family":"Myrzakulov","sequence":"additional","affiliation":[{"name":"Department of General and Theoretical Physics, L N Gumilyov Eurasian National University, Astana 010008, Kazakhstan"},{"name":"Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics, Astana 010009, Kazakhstan"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1932-8431","authenticated-orcid":false,"given":"Anirudh","family":"Pradhan","sequence":"additional","affiliation":[{"name":"Centre for Cosmology, Astrophysics and Space Science (CCASS), GLA University, Mathura 281406, India"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2522-943X","authenticated-orcid":false,"given":"Assem","family":"Mussatayeva","sequence":"additional","affiliation":[{"name":"Department of General and Theoretical Physics, L N Gumilyov Eurasian National University, Astana 010008, Kazakhstan"},{"name":"Department of Physics and Chemistry, S. Seifullin Kazakh Agrotechnical University, Astana 010011, Kazakhstan"}]}],"member":"1968","published-online":{"date-parts":[[2023,1,23]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"565","DOI":"10.1086\/307221","article-title":"Measurements of \u03a9 and \u039b from 42 high-redshift supernovae","volume":"517","author":"Perlmutter","year":"1999","journal-title":"Astrophys. J."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"51","DOI":"10.1038\/34124","article-title":"Discovery of a supernova explosion at half the age of the Universe","volume":"91","author":"Perlmutter","year":"1998","journal-title":"Nature"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"1284","DOI":"10.1086\/316624","article-title":"The case for an accelerating universe from supernovae","volume":"112","author":"Riess","year":"2000","journal-title":"Astron. Soci. 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