Structural features of anisotropic spheres with quintessence in pure Lovelock gravity

In this paper, we study quintessence compact stars in the paradigm of pure Lovelock gravity. We derive the field equations using a spherically symmetric space-time. Specifically, we discuss the equivalence of Einstein's Lovelock gravity in four-dimensional space-time, Gauss-Bonnet term equivalent Lovelock gravity in seven- dimensional space-time and sixteen-dimensional Lovelock gravity by exploring the impact of the quintessence field parameter on features of compact stars in anisotropic matter fields. For matter inside the star, we use Tolman- Kuchowiz space-time. We discuss the density of the compact star and the density related to the quintessence matter field. We also explore the pressure profiles, anisotropy, speeds of sound for stability, EoS state parameters, mass-to- radius profile, compactification, gravitational and gradients for different values of N , which change the dimensions (d = 3N + 1) of pure Lovelock gravity. (author)