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

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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