In the present work, we search a new exact solution of Einstein’s field equations using Karmarkar condition of embedded class one space time. The new solution is analyzed graphically as well as analytically to check its viability for compact star modeling. The different parameters of the solution are ascertained by matching the interior space time metric with the Schwarzschild’s exterior space time metric. We tune our solution for the modeling of strange stars EXO1785-248, SAXJ1808.4-3658 and HER X-1 and found their masses and radii as 8.849 km, 1.3\(M_{\Theta }\) : 7.951 km, 0.9 \(M_{\Theta }\) : 8.1 km, 0.85\(M_{\Theta }\), respectively. The physical reliability of the solution depends on the values of the independent parameters b and c. The solution is well behaved for the range of the values \(0.000009\le b\le 0.0039\) and \(0.0000005\le c\le 0.0000182\). Our models satisfy the causality condition and adiabatic index is well behaved everywhere inside the fluid sphere. The compactness parameter is well defined as it does not cross the Buchdahl limit. All the energy conditions hold good inside the compact fluid spheres. The stability of models is assessed via Herrera’s cracking concept. The hydrostatic equilibrium condition is well maintained by our models as gravitational force is counterbalanced by the combined effects of anisotropic force and hydrostatic force. The proper graphical analysis is provided to authenticate the physically admissible character of proposed models.

在目前的工作中，我们使用嵌入的一类时空的Karmarkar条件搜索爱因斯坦场方程的新精确解。对新解决方案进行图形分析和分析，以检查其在紧凑型恒星建模中的可行性。通过将内部空间时间度量与Schwarzschild的外部空间时间度量相匹配，可以确定解决方案的不同参数。我们调整了对奇异恒星EXO1785-248，SAXJ1808.4-3658和HER X-1建模的解决方案，发现它们的质量和半径分别为8.849 km，1.3 \（M _ {\ Theta} \）：7.951 km，0.9 \ （M _ {\ Theta} \）：8.1 km，0.85 \（M _ {\ Theta} \）， 分别。解决方案的物理可靠性取决于独立参数b和c的值。该解决方案在值\（0.000009 \ le b \ le 0.0039 \）和\（0.0000005 \ le c \ le 0.0000182 \）的范围内表现良好。我们的模型满足因果条件，并且绝热指数在流体球体内各处都表现良好。紧密度参数定义良好，因为它没有超过Buchdahl极限。在紧凑的流体球体内，所有能量条件都保持良好。模型的稳定性通过Herrera的破解概念进行评估。我们的模型很好地保持了静水力平衡条件，因为各向异性力和静水力的综合作用抵消了重力。提供适当的图形分析以验证提议模型的物理可接受特性。