A study of the cosmologically reconstructed f(T, B) gravity from the cosmological jerk parameter

The f(T, B) gravity which can also be considered as a natural modification of teleparallel gravity has been successfully used to substitute DE along with providing an explanation for the long-standing and unresolved cosmological puzzles. The present paper attempts to assess the cosmological significance of the reconstructed f(T, B) gravity on the basis of well-known choices of jerk parameter j. To achieve this goal, we consider a spatially flat Friedmann-Robertson-Walker geometry having a homogeneous and isotropic matter distribution. We study three ansatzes of the jerk parameter: Initially, we reconstruct a specific model of f(T, B) from a Lambda CDM inspired constant jerk parameter, secondly as a function of Hubble parameter H and lastly as a gradually changing function of the redshift parameter. Moreover, to explore the cosmic consequences of these models we determine the disposition of the most critical cosmic parameters including deceleration parameter q and equation of state omega TB under the effect of three choices of matter equation of state parameter. Furthermore, we also study the null energy condition and stability of the aforementioned models against the linear, isotropic and homogeneous perturbations.