AI 中文总结
研究大质量引力中中子星潮汐性质，通过有效度规变形处方计算不同状态方程的潮汐洛夫数和形变，在基准计算中恢复广义相对论极限，得出与GW170817界限比较的依赖状态方程的极限值，极限值取决于微扰处方。
AI 中文摘要
我们研究了大质量引力的内维斯 - 加迪姆分支中静态中子星的潮汐性质，这是一种矢量 - 张量理论，其中大质量场的非零真空期望值会自发打破局部洛伦兹对称性。恒星背景由完整的修正托尔曼 - 奥本海默 - 沃尔科夫系统确定，包括含\(m''(r)\)的项。对于可微的正压状态方程，该系统被重铸为代数等价的一阶形式，不丢弃任何与大质量相关的贡献。由于目前该恒星分支尚无完整的静态偶宇称度规和大质量场微扰的耦合推导，潮汐部分通过显式的有效度规变形处方处理：在修正的大质量背景上评估欣德勒流体微扰方程，并保留标准表面匹配关系作为同一处方的一部分。我们计算了\(\ell\in[-0.4,+1.0]\)范围内BSk20、BSk21、DD2和MS1状态方程的四极潮汐洛夫数\(k_2\)和无量纲潮汐形变\(\Lambda=(2/3)k_2\mathcal{C}^{-5}\)。在基准计算中，\(\ell = 0\)时恢复到广义相对论极限的误差在\(0.2\%\)以内。在采用的有效处方内，与GW170817双星潮汐形变界限\(\widetilde{\Lambda}\leq720\)比较，得出依赖于状态方程的极限值\(\ell_{\max}= +0.25\)（BSk20）、\( +0.06\)（BSk21）、\(-0.09\)（DD2）和\(-0.25\)（MS1）。这些潮汐极限取决于所述的微扰处方，当完整的线性化矢量 - 张量问题可用时应重新评估。
英文摘要
We investigate the tidal properties of static neutron stars in the Neves--Gardim branch of bumblebee gravity, a vector--tensor theory in which a nonzero vacuum expectation value of the bumblebee field spontaneously breaks local Lorentz symmetry. The stellar background is determined from the full modified Tolman--Oppenheimer--Volkoff system, including the term containing $m''(r)$. For a differentiable barotropic equation of state, this system is recast into an algebraically equivalent first-order form without discarding any bumblebee-dependent contribution. Because a complete coupled derivation of static even-parity metric and bumblebee-field perturbations is not presently available for this stellar branch, the tidal sector is treated through an explicit effective metric-deformation prescription: the Hinderer fluid perturbation equation is evaluated on the modified bumblebee background, and the standard surface matching relation is retained as part of the same prescription. We compute the quadrupolar tidal Love number $k_2$ and the dimensionless tidal deformability $Λ=(2/3)k_2\mathcal{C}^{-5}$ for the BSk20, BSk21, DD2, and MS1 equations of state over $\ell\in[-0.4,+1.0]$. The general-relativistic limit is recovered at $\ell=0$ to within $0.2\%$ in the benchmark calculations. Within the adopted effective prescription, comparison with the GW170817 binary tidal-deformability bound $\widetildeΛ\leq720$ yields the EOS-dependent limiting values $\ell_{\max}=+0.25$ (BSk20), $+0.06$ (BSk21), $-0.09$ (DD2), and $-0.25$ (MS1). These tidal limits are conditional on the stated perturbative prescription and should be reassessed when the complete linearised vector--tensor problem becomes available.
Comments9 pages, 4 figures
