Teleparallel扭转与白矮星结构在\\(f(T)=T+\Xi T^2\\)引力中
Teleparallel torsion and white dwarf structure in \(f(T)=T+ΞT^2\) gravity
- Universidade Federal do Cariri（卡鲁鲁联邦大学）
- Instituto Federal de Educação, Ciência e Tecnologia do Ceará（塞阿拉联邦教育、科学与技术学院）
- Federal University of Paraíba（帕拉伊巴联邦大学）
- Federal University of Campina Grande（坎皮纳格兰德联邦大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本研究在\\(f(T)=T+\Xi T^2\\)引力中计算白矮星平衡结构，发现负耦合增加质量与致密性，正耦合减小质量，且影响随密度增强，揭示了扭转对恒星质量尺度的密度依赖修正。
AI中文摘要：
我们研究了二次扭转如何修改协变\\(f(T)=T+\Xi T^2\\)引力中白矮星的平衡结构。使用固定的冷碳物质状态方程计算静态球对称构型，包括相对论性电子简并和库仑晶格修正。恒星内部与真空外部匹配，质量由渐近几何确定。在固定中心密度下，负耦合产生比广义相对论更重且更致密的构型，而正耦合则给出更小的质量和更大的半径。偏差随中心密度增加而增大，且在质量上比在半径上更显著。每条序列的第一个限制特征取决于耦合。对于\\(\Xi=-10^{18}\\,\mathrm{cm}^{2}\\)，序列在电子俘获密度之前保持单调，并达到\\(1.508\\,M_\odot\\)。广义相对论和\\(\Xi=+10^{18}\\,\mathrm{cm}^{2}\\)则分别在\\(1.385\\,M_\odot\\)和\\(1.366\\,M_\odot\\)处达到质量转折点。正极端情况可以继续作为平衡解延伸到俘获密度，其质量降至\\(1.24\\,M_\odot\\)，但该构型位于转折点之后，不是该序列的最大质量。这些结果确定了密度依赖的扭转结构响应，在不修改物质状态方程的情况下改变了恒星质量尺度。
英文摘要：
We investigate how quadratic torsion modifies the equilibrium structure of white dwarfs in covariant $f(T)=T+ΞT^2$ gravity. Static spherical configurations are calculated with a fixed equation of state for cold carbon matter, including relativistic electron degeneracy and Coulomb lattice corrections. The stellar interior is matched to a vacuum exterior, and the mass is determined from the asymptotic geometry. At fixed central density, negative couplings produce more massive and more compact configurations than general relativity, whereas positive couplings give smaller masses and larger radii. The deviations increase with central density and are more pronounced in mass than in radius. The first limiting feature of each sequence depends on the coupling. For $Ξ=-10^{18}\,\mathrm{cm}^{2}$, the sequence remains monotonic up to the electron capture density and reaches $1.508\,M_\odot$. General relativity and $Ξ=+10^{18}\,\mathrm{cm}^{2}$ instead reach mass turning points at $1.385\,M_\odot$ and $1.366\,M_\odot$, respectively. The positive extreme can be continued as an equilibrium solution to the capture density, where its mass decreases to $1.24\,M_\odot$, but this configuration lies beyond the turning point and is not the maximum mass along that sequence. These results identify a density dependent structural response to torsion that changes the stellar mass scale without modifying the matter equation of state.
