Anisotropic quintessence compact star in f(T) gravity with Tolman–Kuchowicz metric potentials

Abstract

To obtain analytically relativistic quintessence anisotropic spherical solutions in the f(T) paradigm is the primary objective of this paper. To do this, the pressure anisotropy condition is imposed, and we employ a metric potential of the Tolman–Kuchowicz (TK) type. We also suppose that our current model incorporates a quintessence field characterized by a parameter ω q , in addition to the anisotropic matter distribution. In the presence of the parameter α, the field equations are modified by the choice of the f(T) function. The f(T) gravity parameter α adds new components to the basic physical characteristics, such as density, pressure, subliminal sound velocity, surface redshift, etc, of the present model. By selecting the compact star Her X-1 and varying α from 0.5 to 2.5, we examined all the physical characteristics of the model parameter of the configuration. The graphical process demonstrates that a more compact item is produced with greater values of α. The hydrostatic equilibrium condition of the model is discussed, as well as the mass-radius relationship for our current model is obtained.