Anisotropic compact stars features using Tolman Kuchowiz and Embedding Space time in Rastall Teleparallel gravity

Abstract

This study explores the stellar structures by employing Karmarkar condition Tolman Kuchowiz metric components with the anisotropic source of the matter distribution in the background of Rastall teleparallel gravity. To best of our knowledge, this is the first attempt to discuss the stellar structures in Rastall teleparallel gravity. For the embedding space–time, we ansatz the time metric co-efficient with two different values to check the effect of the model parameter n. Further, we use the Schwarzschild solution as an exterior solution to determine the unknown involved model parameters for this study. We show the stability and admissibility of the obtained solutions by investigating some core properties of the stellar objects. For the current analysis, we use the observed data of well-known stellar models like PSRJ1416-2230,Her X-1, SAX J1808.4-3658, EXO 1785-248 and SMC X-1. Finally, It is important to mention that our inquired results are physically acceptable.