托马斯-费米极限下作为受限克尔模拟体的G(2)胶球玻色星
G(2) Glueball Boson Stars as Restricted Kerr Mimickers in the Thomas--Fermi Limit
- INFN, Physics Department of Bologna University（意大利国家核物理研究所，博洛尼亚大学物理系）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
该研究提出GC9闭合作为致密星基准，通过托马斯-费米极限下的G(2)胶球玻色星，重现部分克尔可观测量，构建了可用于相关测试的受限克尔模拟框架。
AI中文摘要：
我们研究由破缺的例外G(2)规范部门产生的暗胶球物质构成的无视界致密星，能否在托马斯-费米有效流体描述中重现选定的克尔可观测量。我们引入GC9，这是一种尺度分离的G(2)启发式正九次密度闭合，其高密度刚度、无袋表面和Q球安全性使其成为有用的致密星基准。经托马斯-费米重新标度后，简化的恒星可观测量与微观胶球质量m_G无关，而集体刚度Λ_T确定了有量纲的质量和半径。求解TOV、Hinderer和Hartle-Thorne方程组，我们得到稳定的最大质量致密性C=0.3247、潮汐可变形性Λ=4.37、\u0305I C^{3/2}=0.947，以及慢转动四极矩\u0305Q=1.522。在j=0.328时，同阶的ISCO偏移为1.24%。该稳定端点无光环，但其外部Regge-Wheeler势垒支持真实的静态轴向模式Mω=0.463846-0.098881i，阻尼时间比史瓦西短约10%，实频率高24.1%。偏振平衡的矢量实现具有相同的各向同性体EOS；适度的残余各向异性仅在几个百分点的水平上改变静态和一阶可观测量，而完全耦合的矢量谱仍未确定。Cowling计算识别出物质支撑的四极模式。标量爆发、种子坍缩和宇宙学部分是现象学的：固定的Λ_T仅在其自身最大质量附近给出紧凑的克尔比较分支，因此多部门情景假设从keV超大质量部门到PeV小行星质量部门的不同恒定Λ_T分支。因此，GC9定义了一个可证伪的受限克尔模拟框架，用于引力波、视界尺度和致密暗物质测试。
英文摘要：
We investigate whether horizonless compact stars made of dark glueball matter from a broken exceptional $G(2)$ gauge sector can reproduce selected Kerr observables within a Thomas--Fermi effective-fluid description. We introduce GC9, a scale-separated $G(2)$-inspired positive nonic-density closure whose high-density stiffness, bag-free surface and Q-ball safety make it a useful compact-star benchmark. After Thomas--Fermi rescaling, reduced stellar observables are independent of the microscopic glueball mass $m_G$, while the collective stiffness $Λ_T$ fixes the dimensional mass and radius. Solving the TOV, Hinderer and Hartle--Thorne systems, we obtain a stable maximum-mass compactness $C=0.3247$, tidal deformability $Λ=4.37$, $\bar I C^{3/2}=0.947$, and slow-rotation quadrupole $\bar Q=1.522$. At $j=0.328$, the same-order ISCO shift is $1.24\%$. The stable endpoint has no light ring, but its exterior Regge--Wheeler barrier supports a genuine static axial mode, $Mω=0.463846-0.098881i$, with a damping time about ten percent shorter than Schwarzschild and a real frequency $24.1\%$ higher. A polarization-balanced vector realization has the same isotropic bulk EOS; moderate residual anisotropy changes static and first-order observables only at the few-percent level, while the full coupled vector spectrum remains open. Cowling calculations identify matter-supported quadrupolar modes. The scalar-burst, seeded-collapse and cosmological sections are phenomenological: a fixed $Λ_T$ gives a compact Kerr-comparison branch only near its own maximum mass, so the multi-sector scenario assumes distinct constant-$Λ_T$ branches from the keV supermassive sector to the PeV asteroid-mass sector. GC9 therefore defines a falsifiable restricted Kerr-mimicry framework for gravitational-wave, horizon-scale and compact-dark-matter tests.
