AI 中文总结
该研究在半对称度规引力框架下，假设径向球对称挠率矢量推导出两个精确黑洞真空解，通过太阳系测试约束新尺度长度，证实其矢量微扰 sector 线性稳定。
AI 中文摘要
半对称度规引力通过引入带有矢量挠率的半对称联络来扩展广义相对论，修正后的场方程包含挠率矢量及其导数带来的额外贡献。假设挠率矢量为完全径向且符合球对称，我们推导出两个精确真空解。度规依赖于两个积分常数，分别定义史瓦西半径和一个新的宇宙学尺度长度。利用经典太阳系测试（包括近日点进动、光偏转和雷达回波延迟）来约束新的尺度长度及其与广义相对论的偏差。我们研究了所得黑洞解的热力学性质，结果表明矢量微扰 sector 是线性稳定的。
英文摘要
Semi-Symmetric metric gravity extends general relativity by introducing a semi-symmetric connection with vectorial torsion. The modified field equations contain extra contributions from the torsion vector and its derivatives. Assuming a purely radial torsion vector consistent with spherical symmetry, we derive two exact vacuum solutions. The metric depends on two integration constants, defining the Schwarzschild radius and a new cosmological-type length scale. Classical Solar System tests, including perihelion precession, light deflection, and radar echo delay, are used to constrain the new length scale and the associated deviations from general relativity. The thermodynamic properties of the resulting black hole solutions are investigated, and it is shown that the vector perturbation sector is linearly stable.
Comments14 pages, no figures, accepted for publication in EPJC
Journal refEur. Phys. J. C (2026) 86:1015
DOI：10.1140/epjc/s10052-026-16189-8
