标题： 缓慢旋转和非局部修正的托尔曼 VII 星的潮汐变形 显示英文标题

标题： Slowly Rotating and Tidal Deformation of Nonlocal Modified Tolman VII Star

摘要： 我们利用具有各向同性完美流体的精确修正的托尔曼- VII (NEMTVII) 密度模型，在非局域引力的框架下研究转动惯量、四极形变和潮汐形变。通过标准的偶数宇称扰动理论，得到了潮汐爱数~$(k_{2})$。此外，我们通过分析潮汐变形参数~$( \lambda_{\textrm{tid}} )$来探讨观测意义，并将其与GW170817、GW190425、PSR J0348+0432和PSR J0740+0620的约束进行比较。我们发现，当~$\alpha \gtrsim 1.6$具有较小的~$\beta$时，结果与潮汐约束一致。对于缓慢旋转的天体，无量纲的转动惯量~$( \bar{I} )$、旋转爱参数~$( \bar{\lambda}_{\textrm{rot}} )$和四极矩~$( \bar{Q} )$完全由扰动度规决定。 我们的研究结果表明，非局域参数~$( \beta )$显著影响恒星半径。对于固定的$\beta$和变化的$\alpha$，发现$I$-Love-$Q$关系具有普适性。 对于不同的$\beta$，$I$-Love-$Q$关系变得非普适。 显示英文摘要

摘要： We investigate the moment of inertia, quadrupole deformation, and tidal deformation within the framework of nonlocal gravity, utilizing the exact modified Tolman-VII (NEMTVII) density model with an isotropic perfect fluid. The Love number~$(k_{2})$ is derived using standard even-parity perturbation theory. Additionally, we explore the observational implications by analyzing the tidal deformability parameter~$( \lambda_{\textrm{tid}} )$ in comparison with the constraints from GW170817, GW190425, PSR J0348+0432, and PSR J0740+6620. We found that the results are consistent with the tidal constraint when $\alpha \gtrsim 1.6$ with the small $\beta$. For slowly rotating object, the dimensionless moment of inertia~$( \bar{I} )$, rotational Love parameter~$( \bar{\lambda}_{\textrm{rot}} )$, and quadrupole moment~$( \bar{Q} )$ are fully determined by the perturbed metric. Our findings reveal that the nonlocal parameter~$( \beta )$ significantly affects the star radius. For a fixed $\beta$ and varying $\alpha$, the $I$-Love-$Q$ relations are found to be universal. For varying $\beta$, the $I$-Love-$Q$ relations become non-universal.