AI 中文总结
研究与非理想流体耦合的静态球对称黑洞的几乎\(η -\)里奇 - Yamabe 孤子，通过正则化时间坐标等方法证明几何流可将黑洞转变为可穿越虫洞喉部，还表明孤子能保持宇宙时空，且几何流引入局部耗散机制。
AI 中文摘要
本文研究了几乎\(η -\)里奇 - Yamabe 孤子，它是与非理想流体耦合的静态球对称黑洞的基本几何调节器。结果表明，缩放参数\(\omega(r)\)由沿径向矢量场的热力学摩擦以及与霍金温度的几何耦合\(\alpha(r_H)S_{tt}=2\pi T_H\)在视界处决定。还推导了沿孤子梯度矢量场的泊松方程，并证明流动的运动学膨胀明确依赖于流体状态方程\(\rho = \gamma\sigma\)。通过正则化时间坐标并满足空间展开条件，解析证明几何流将黑洞几何内源性转变为可穿越虫洞喉部。当流体在\(\gamma = -1\)进入暗能量时代并违反零能量条件\(\rho+\sigma < 0\)时发生这种转变，孤子严格主导局部曲率梯度\(\omega^{\prime}(r_H)>f^{\prime\prime}(r_H)\)以保持喉部开放。此外，孤子在空间无穷远处平滑衰减，保留了精确的宇宙时空。最后，通过张量微扰分析表明几何流引入了局部耗散机制，微扰演化简化为阻尼波动方程，在流形上施加几何阻力。
英文摘要
In this paper, we investigate the almost $η$-Ricci-Yamabe soliton as a fundamental geometric regulator for a static, spherically symmetric black hole coupled to an imperfect fluid. We have shown that the scaling parameter $ω(r)$ is governed by thermodynamic friction along the radial vector field, and the geometric coupling with the Hawking temperature: $α(r_H) S_{tt} = 2πT_H$ at the horizon. We also derive the Poisson equation along the gradient vector field of the soliton and prove that the flow's kinematic expansion is explicitly dependent on the fluid's equation of state $ρ= γσ$. Diverging from traditional methodologies that assume a geometric shape function apriori, we analytically proved the geometric flow endogenously transitions the black hole geometry into a traversable wormhole throat by regularizing of temporal coordinate and satisfying spatial flare-out condition. This transition occurs when fluid enters the dark energy era at $γ= -1$ and violates the Null Energy Condition $ρ+ σ< 0$, with the soliton strictly dominating the local curvature gradient $ω^{\prime}(r_H) > f^{\prime\prime}(r_H)$, to keep the throat open. Moreover, by smoothly attenuating at spatial infinity, the soliton preserves the exact cosmological spacetime. Finally, through tensorial perturbation analysis, we demonstrate that the geometric flow introduces a localized dissipative mechanism, that the perturbation evolution reduces to damped wave equation, imposing geometric drag on the manifold.
Comments26 pages, 4 figures and 1 table
Journal refEur. Phys. J. C. 86 (2026) 1141
DOI：10.1140/epjc/s10052-026-16321-8
