A Generic Embedding Class-I Model via Karmarkar Condition in f ℛ , T Gravity

Abstract

In the present work, we investigate the existence of compact star model in the background of f(R, T) gravity theory, where R represents the Ricci scalar and T refers to the energy-momentum tensor trace. Here, we use Karmarkar condition for the interior stellar setup so that a complete and precise model following the embedding class-I strategy can be obtained. For this purpose, we assume anisotropic matter contents along with static and spherically symmetric geometry of compact star. As Karmarkar embedding condition yields a relationship of metric potentials, therefore we assume a suitable form for one of the metric components as eφ � ar2 + b 1rn + 1, where a and b represent constants and n is a free parameter, and evaluate the other. We approximate the values of physical parameters like a, A, and B by utilizing the known values of mass and radius for the compact star Vela X-1. +e validity of the acquired model is then explored for different values of coupling parameter λ graphically. It is found that the resulting solution is physically interesting and well-behaved.