Physical plausibility of cold star models satisfying Karmarkar conditions

In the present article, we have obtained a new well behaved solution to Einstein’s field equations in the background of Karmarkar spacetime. The solution has been used for stellar modelling within the demand of current observational evidences. All the physical parameters are well behaved inside the stellar interior and our model satisfies all the required conditions to be physically realizable. The obtained compactness parameter is within the Buchdahl limit, i.e. $ 2M/R \le 8/9$ . The TOV equation is well maintained inside the fluid spheres. The stability of the models has been further confirmed by using Herrera’s cracking method. The models proposed in the present work are compatible with observational data of compact objects 4U1608-52 and PSRJ1903+327. The necessary graphs have been shown to authenticate the physical viability of our models