标题： 脉冲星的潮汐洛夫数 显示英文标题

标题： Tidal Love numbers of Proca stars

摘要： Proca星（arXiv:1508.05395）是无处不在的规则、渐近平坦的自引力孤子，由复数、大质量矢量玻色子组成，形成宏观的、恒星大小的玻色-爱因斯坦凝聚体。 它们被建议作为奇异致密天体的经典动力学模型、黑洞模仿者和暗物质候选者。 在球对称情况下，它们在迄今为止研究的所有方面都与它们的标量同类——标准（标量）玻色子星在本质上相似。 在这里，我们研究了球对称Proca星的潮汐变形性和四极潮汐洛夫数，包括电类型和磁类型。 推导了扰动方程，并计算了一些具体背景解的洛夫数数值。 我们观察到，这两个洛夫数与玻色子星的洛夫数在本质上相似；特别是，对于Proca星，电类型的（磁类型的）四极洛夫数为正（负）。 在定量上，对于相同的致密性，Proca情况下的电和磁洛夫数的绝对值比标量情况更接近，其中电洛夫数的绝对值略大于磁洛夫数。 显示英文摘要

摘要： Proca stars (arXiv:1508.05395) are everywhere regular, asymptotically flat self-gravitating solitons composed of complex, massive vector bosons, forming a macroscopic, star-sized, Bose-Einstein condensate. They have been suggested as a classical, dynamical model of exotic compact objects, black hole mimickers and dark matter candidates. In spherical symmetry, they are qualitatively similar to their scalar cousins, the standard (scalar) boson stars in all respects studied so far. Here we study the tidal deformability and the quadrupolar tidal Love numbers, both electric-type and magnetic-type, of spherically symmetric Proca stars. The equations for the perturbations are derived and the numerical values of the Love numbers for some concrete background solutions are computed. We observe that both Love numbers are qualitatively similar to the ones of the scalar boson stars; in particular, the electric-type (magnetic-type) quadrupolar Love numbers are positive (negative) for Proca stars. Quantitatively, for the same compactness, the electric and magnetic Love numbers in the Proca case are closer (in magnitude) than in the scalar case, with the electric Love numbers having a slightly larger magnitude than the magnetic ones.