In this paper, we develop a new class of models for a compact star with anisotropic stresses inside the matter distribution. By assuming a linear equation of state for the anisotropic matter composition of the star we solve the Einstein field equations. In our approach, for the interior solutions we use a particular form of the an satz for the metric function $g_{rr}$. The exterior solution is assumed as the Schwarzschild metric and is joined with the interior metric obtained across the boundary of the star. These matching of the metrices along with the condition of the vanishing radial pressure at the boundary lead us to determine the model parameters. The physical acceptability of the solutions has verified by making use of the current estimated data available from the pulsar $4U1608-52$. Thereafter, assuming anisotropy due to tidal effects we calculate the Love numbers from our model and compare the results with the observed compact stars, viz. $KS1731-260$, $4U1608-52$, $4U1724-207$, $4U1820-30$, $SAXJ1748.9-2021$ and $EXO1745-268$. The overall situation confirms physical viability of the proposed approach, which can shed new light on the interior of the compact relativistic objects.

在本文中，我们为在物质分布内部具有各向异性应力的致密星开发了一类新模型。通过假设恒星各向异性物质组成的线性状态方程，我们求解了爱因斯坦场方程。在我们的方法中，对于内部解决方案，我们对度量函数使用了一种特殊形式的 satz$G_{rr}$. 外部解被假定为 Schwarzschild 度量，并与跨越恒星边界获得的内部度量相结合。这些度量的匹配以及边界处径向压力消失的条件引导我们确定模型参数。解决方案的物理可接受性已通过使用脉冲星当前可用的估计数据得到验证$4你1608-52$. 此后，假设潮汐效应导致各向异性，我们从我们的模型计算洛夫数，并将结果与​​观察到的致密星进行比较，即。$钾秒1731-260$, $4你1608-52$, $4你1724-207$, $4你1820-30$, $秒\mathrm{一种}XJ1748.9-\mathrm{2021年}$ 和 $乙X哦1745-268$. 总体情况证实了所提出方法的物理可行性，这可以为紧凑相对论物体的内部提供新的思路。