In this paper, a class of anisotropic compact stars is analyzed in Heintzmann geometry. The Einstein field equations (EFEs) have been solved to obtain the stellar model in presence of pressure anisotropy. We have considered the $g_{tt}$ metric component as proposed by Heintzmann, and by solving the EFEs, the $g_{rr}$ metric component is evaluated in the presence of pressure anisotropy. It is noted that for an isotropic star ($\alpha =0$), the maximum mass lies within the range 1.87–3.04$M_{\odot }$ for radii ranging between 8–13$$km. For anisotropic compact stars, the maximum mass increases with $\alpha$ and lies within the range 1.99–3.23 $M_{\odot }$ for anisotropy parameter $\alpha =0.5$. The physical viability of the model is examined by applying our model to study the properties of a few known compact objects. All the stability conditions are fulfilled in the proposed model. It is also interesting to note that the maximum mass calculated from our model from geometrical consideration and solving the TOV equation is approximately equal, and the radii predicted from the present model comply with the estimated radius from observations of recently observed pulsars and lighter compact objects of GW events such as GW 190814 and GW 170817.

本文用海因茨曼几何来分析一类各向异性致密星。求解爱因斯坦场方程（EFE）以获得存在压力各向异性的恒星模型。我们已经考虑了$G_{tt}$Heintzmann 提出的度量分量，并通过求解 EFE，$G_{rr}$公制分量是在存在压力各向异性的情况下评估的。值得注意的是，对于各向同性恒星（$\alpha =0$），最大质量在 1.87–3.04 范围内${\mathrm{中号}}_{\odot }$适用于 8–13 之间的半径$$公里。对于各向异性致密星，最大质量随着$\alpha$且位于 1.99–3.23 范围内${\mathrm{中号}}_{\odot }$对于各向异性参数$\alpha =0。5$。通过应用我们的模型来研究一些已知致密物体的特性来检验模型的物理可行性。所提出的模型满足所有稳定性条件。有趣的是，我们的模型根据几何考虑和求解 TOV 方程计算出的最大质量近似相等，并且根据当前模型预测的半径符合最近观测到的脉冲星和较轻致密天体的估计半径。 GW 事件，例如 GW 190814 和 GW 170817。