Beschreibung:
<jats:title>Abstract</jats:title>
<jats:p>To obtain analytically relativistic quintessence anisotropic spherical solutions in the <jats:italic>f</jats:italic>(<jats:italic>T</jats:italic>) 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 <jats:italic>ω</jats:italic>
<jats:sub>
<jats:italic>q</jats:italic>
</jats:sub>, in addition to the anisotropic matter distribution. In the presence of the parameter <jats:italic>α</jats:italic>, the field equations are modified by the choice of the <jats:italic>f</jats:italic>(<jats:italic>T</jats:italic>) function. The <jats:italic>f</jats:italic>(<jats:italic>T</jats:italic>) gravity parameter <jats:italic>α</jats:italic> 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 <jats:italic>α</jats:italic> 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 <jats:italic>α</jats:italic>. The hydrostatic equilibrium condition of the model is discussed, as well as the mass-radius relationship for our current model is obtained.</jats:p>