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Exploring cosmological evolution and constraints in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si145.svg" display="inline" id="d1e758"><mml:mrow><mml:mi>f</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>T</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math> teleparallel gravity

M. KoussourDepartment of Physics, University of Hassan II Casablanca, MoroccoAziza AltaibayevaDepartment of General and Theoretical Physics, L.N. Gumilyov Eurasian National University, Astana 010008, KazakhstanS. BekovDepartment of General and Theoretical Physics, L.N. Gumilyov Eurasian National University, Astana 010008, KazakhstanF. HolmurodovFaculty of Mathematics, Namangan State University, Boburshoh str. 161, Namangan 160107, UzbekistanS. MuminovMamun University, Bolkhovuz Street 2, Khiva 220900, UzbekistanJavlon RayimbaevInstitute of Fundamental and Applied Research, National Research University TIIAME, Kori Niyoziy 39, Tashkent 100000, Uzbekistan
ABI

Аннотация

This study explores the extension of teleparallel gravity within the framework of general relativity , introducing an algebraic function f ( T ) dependent on the torsion scalar T . Motivated by the teleparallel formulation, we investigate cosmological implications, employing the simplest parametrization of the dark energy equation of state . Our chosen f ( T ) function, f ( T ) = α ( − T ) n , undergoes stringent constraints using recent observational data ( H ( z ) , SNeIa, BAO , and CMB). The model aligns well with cosmic dynamics, exhibiting quintessence behavior. The evolution of the deceleration parameter , the behavior of dark energy components, and the O m ( z ) diagnostic further reveal intriguing cosmological phenomena, emphasizing the model’s compatibility with quintessence scenarios.

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