发表机构
The Assam Royal Global University; Al-Hussein Bin Talal University; Eastern Mediterranean University（阿萨姆皇家全球大学; 侯赛因·本·塔拉勒大学; 东地中海大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究了被 quintessence 场包围的 κ 形变 AdS 黑洞的测地线与热力学，通过修正熵或重标质量恢复热力学第一定律，揭示其焦耳-汤姆逊反转与范德瓦尔斯临界性可解耦，且形变抑制霍金辐射峰值。
AI 中文摘要
我们研究了在 Kiselev quintessence 场中，由质量相关的 lapse 形变所支配的 κ 形变 Schwarzschild-反德西特黑洞的测地线结构和热力学。该项无需电荷或自旋即可产生内柯西视界，但无法解决中心奇点问题；相反，Kretschmann 标量以 r⁻¹⁰ 的形式更强地发散。由于形变振幅与质量耦合，标准的贝肯斯坦-霍金面积定律违反了热力学第一定律。我们通过推导修正熵或重新标度质量来解决这一问题，这两种方法均能恢复热力学第一定律并得到一致的 Smarr 关系。光学上，增大形变参数会同时缩小光子球和临界碰撞参数。我们还推导了闭式的焦耳-汤姆逊系数，揭示 κ 形变会触发反转曲线，这是标准中性 SAdS 中不存在的特征。值得注意的是，这一过程并未产生范德瓦尔斯临界点，表明焦耳-汤姆逊反转与范德瓦尔斯临界性可以完全解耦。最后，形变将峰值霍金辐射抑制约四倍，并增加通量稀疏性，该效应几乎完全由温度下降驱动，而非黑洞阴影的变化。
英文摘要
We investigate the geodesic structure and thermodynamics of a $κ$-deformed Schwarzschild-anti-de Sitter black hole in a Kiselev quintessence field, where dynamics are governed by a mass-dependent lapse deformation. This term produces an inner Cauchy horizon without requiring charge or spin, yet it fails to resolve the central singularity; instead, the Kretschmann scalar diverges more strongly as $r^{-10}$. Because the deformation amplitude couples to the mass, the standard Bekenstein-Hawking area law violates the first law of thermodynamics. We resolve this by either deriving a modified entropy or rescaling the mass, both of which restore the first law and yield a consistent Smarr relation. Optically, an increasing deformation parameter shrinks both the photon sphere and the critical impact parameter. We also derive a closed-form Joule-Thomson coefficient, revealing that the $κ$-deformation triggers an inversion curve a feature absent in standard neutral SAdS. Notably, this occurs without generating a van der Waals critical point, demonstrating that Joule-Thomson inversion and van der Waals criticality can be cleanly decoupled. Finally, the deformation suppresses peak Hawking emission by a factor of roughly four and increases flux sparsity, an effect driven almost entirely by a drop in temperature rather than changes to the black hole shadow.
