黑反弹时空与星系旋转曲线：从奇点解析到可观测引力效应
Black-bounce spacetime and galactic rotation curves: from singularity resolution to observable gravitational effects
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中文总结 AI 辅助
研究通过黑反弹时空修正史瓦西度规，经三个观测窗口研究其物理意义，包括奇点消除、太阳系测试及星系动力学应用，拟合星系旋转曲线得到反弹参数观测约束，证实该度规在星系核心正则化且与暗物质晕一致，是经典黑洞替代方案的测试平台。
中文摘要 AI 辅助
黑反弹时空通过引入自由参数\(a\)对史瓦西度规进行正则化修正，消除中心奇点并保留经典黑洞外部几何。本文通过三个互补观测窗口研究该度规的物理意义。一是研究视界结构及正则黑洞与可穿越虫洞的转变；二是进行太阳系精度测试，如水星近日点进动、引力透镜和雷达信号夏皮罗时间延迟，表明反弹参数\(a\)相对于广义相对论引入了小但可测的修正；三是首次将黑反弹度规应用于星系动力学，推导圆速度场并拟合NGC~7331观测旋转曲线，得到\(a = 1.035 \pm 0.119\)~kpc，这是来自星系运动学对反弹参数的首个观测约束。结果证实黑反弹度规使星系内核心正则化，且在大半径处与标准暗物质晕完全一致，确立其为经典黑洞无奇点替代方案的有力测试平台。
英文摘要
The black-bounce spacetime provides a regularized modification of the Schwarzschild metric by introducing a free parameter $a$ that eliminates the central singularity while preserving the exterior geometry of a classical black hole. This work investigates the physical implications of this metric across three complementary observational windows. First, we examine the horizon structure and the transition between a regular black hole ($a < 2M$) and a traversable wormhole ($a > 2M$), offering a viable singularity-free alternative to classical black hole solutions. Second, we perform Solar System precision tests perihelion precession of Mercury, gravitational lensing, and the Shapiro time delay of radar signals demonstrating that the bounce parameter $a$ introduces small but measurable corrections relative to general relativity. Third, and for the first time, we apply the black-bounce metric to galactic dynamics by deriving the circular velocity field and fitting it to the observed rotation curve of NGC~7331. A four-component mass decomposition black-bounce central potential, Freeman exponential disc, Hernquist bulge, and a Navarro--Frenk--White dark matter halo yields $a = 1.035 \pm 0.119$~kpc , providing the first observational constraint on the bounce parameter from galaxy kinematics. Our results confirm that the black-bounce metric regularises the inner galactic core while remaining fully consistent with a standard dark matter halo at large radii, establishing this spacetime as a compelling testbed for singularity-free alternatives to classical black holes.
