Theoretical modeling demonstrates non-singular bouncing solutions in f(T, TG) gravity, suggesting viable alternatives to standard cosmic inflation for the early universe.
Key Points
The study aims to derive exact cosmological solutions within modified f(T, TG) gravity to investigate non-singular bouncing models that describe early universe evolution.
Formulated field equations using f(T, TG) gravity, incorporating the torsion scalar and teleparallel Gauss-Bonnet terms.
Tested five bouncing scale factor models—symmetric, oscillatory, superbounce, matter bounce, and singular bounce—using functional ansatzes such as g(T) + h(TG) and TG*g(T).
Analytically evaluated the scale factor, Hubble parameter, energy density, and pressure to confirm singularity avoidance.
Determined exact functional forms of f(T, TG) that satisfy the modified field equations for each considered bouncing scenario.
Demonstrated smooth, non-singular transitions from cosmic contraction to expansion across all evaluated bouncing models.
Confirmed that the resulting cosmologies offer physically consistent and singularity-free alternatives to standard cosmic inflation.