基于白矮星ADM质量的二次型f(Q)引力的贝叶斯约束
Bayesian constraints on quadratic $f(Q)$ gravity from the ADM mass of white dwarfs
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中文总结 AI 辅助
该研究通过贝叶斯方法，利用多颗白矮星的质量-半径测量值，对二次对称平行引力f(Q)=Q+αQ²的正负耦合区及广义相对论进行约束，发现当前数据未提供修改引力的直接证据。
中文摘要 AI 辅助
我们计算二次对称平行引力f(Q)=Q+αQ²中白矮星（WDs）的静态平衡序列，并利用质量-半径测量值对负耦合区、广义相对论（GR）和正耦合区进行贝叶斯比较。通过施加仿射场方程并选择解析分支C=r exp(B/2)，得到规则内部解，将其与渐近平坦外部时空匹配以确定ADM质量。物质部分由冷碳-12物态方程描述，包含相对论电子简并、核静能和库仑晶格修正。在固定α时，中心密度采用对数均匀先验进行边缘化，序列覆盖范围为10¹⁴ ≤ |α|/cm² ≤ 10²¹。正耦合将致密支移向更大半径和更低质量，而负耦合产生高质量延伸，包括一个具有M_ADM=14.34倍太阳质量的可容许平衡构型。利用天狼星B、QS Vir、V471 Tau B、ZTF J1901+1458和LHS 4033，我们得到条件后验中位数α₋=-1.12×10¹⁶ cm²和α₊=1.85×10¹⁷ cm²。在相等先验权重下，负、GR和正区的后验概率分别为0.228、0.378和0.395，其中ln(B₊/GR)=0.043。因此，当前数据为耦合提供了条件约束，但未给出修改引力的直接证据，强调利用白矮星观测约束该理论时，必须一致定义ADM质量规定和可容许恒星域。
英文摘要
We calculate static equilibrium sequences for white dwarfs (WDs) in quadratic symmetric teleparallel gravity, f(Q)=Q+alpha Q^2, and perform a Bayesian comparison between the negative-coupling sector, general relativity (GR), and the positive-coupling sector using mass-radius measurements. Regular interior solutions are obtained by imposing the affine field equation and selecting the analytic branch C=r exp(B/2), and are matched to asymptotically flat exterior spacetimes to determine the ADM mass. The matter sector is described by a cold carbon-12 equation of state including relativistic electron degeneracy, nuclear rest energy, and Coulomb lattice corrections. Central density is marginalized at fixed alpha with a log-uniform prior. The sequences span 10^14 <= |alpha|/cm^2 <= 10^21. Positive couplings shift the compact branch toward larger radii and lower masses, whereas negative couplings produce high-mass extensions, including an admissible equilibrium configuration with M_ADM=14.34 solar masses. Using Sirius B, QS Vir, V471 Tau B, ZTF J1901+1458, and LHS 4033, we obtain conditional posterior medians alpha_-= -1.12x10^16 cm^2 and alpha_+=1.85x10^17 cm^2. With equal prior weights, the posterior probabilities for the negative, GR, and positive sectors are 0.228, 0.378, and 0.395, respectively, with ln(B_+/GR)=0.043. Current data therefore provide conditional constraints on the coupling but no direct evidence for modified gravity, emphasizing that the ADM mass prescription and admissible stellar domain must be consistently defined when using WD observations to constrain the theory.
