AI 中文总结
本文针对含Kiselev型暗能量的RN-AdS黑洞，建立电荷辅助彭罗斯提取的定量框架，推导逃逸能量上界等结果，区分局部运动学边界与其他效应。
AI 中文摘要
我们针对被Kiselev型各向异性暗能量区域包围的Reissner-Nordström反德西特（RN-AdS）黑洞，建立了电荷辅助彭罗斯提取的定量框架。广义静电能层由红移与静电功的平衡定义。在明确给出的时移函数和静电势单调性假设下，我们证明了外部能层边界及负能轨迹转折点的唯一性。我们推导了逃逸能量的局部上界，提出了适用于AdS渐近的有限半径接收准则，并根据质量、电荷、宇宙学常数、Kiselev归一化及状态参数绘制了允许的提取域。我们还引入了质量和电荷缓慢变化时的一阶绝热放电与吸积定律，明确了可一致追踪演化视界与能层的参数范围。这些结果为暗能量环境下RN-AdS背景中的带电彭罗斯提取提供了可控的解析与数值诊断，同时清晰区分了局部运动学边界与反作用、辐射损失及近极端稳定性效应。
英文摘要
We develop a quantitative framework for charge assisted Penrose extraction in Reissner--Nordström Anti-de Sitter black holes surrounded by a Kiselev type anisotropic dark energy sector. The generalized electrostatic ergosphere is defined by the balance between redshift and electrostatic work. Under explicitly stated monotonicity assumptions on the lapse and electrostatic potential, we prove uniqueness of the exterior ergosphere boundary and of the turning point of negative energy trajectories. We derive a local upper bound on the escaping energy, formulate a finite radius reception criterion appropriate to AdS asymptotics, and map the allowed extraction domains in terms of the mass, charge, cosmological constant, Kiselev normalization, and state parameter. We also introduce first order adiabatic discharge and accretion laws for slowly varying mass and charge, clarifying the regime in which the evolving horizon and ergosphere can be tracked consistently. The results provide controlled analytic and numerical diagnostics for charged Penrose extraction in RN--AdS backgrounds with a dark energy environment, while clearly separating local kinematic bounds from backreaction, radiative losses, and near extremal stability effects.
