AI 中文总结
研究基于修正黑洞熵诱导的时空几何来构建薄壳虫洞，通过特定函数和条件推导相关物理量并应用于多种熵规定，发现对称构造有负表面能密度要求，常正压分支不稳定，可变查普利金壳可支持稳定构型，建立统一比较框架并明确稳定性决定因素。
AI 中文摘要
修正的黑洞熵可诱导有效的时空几何，为研究薄壳虫洞提供热力学途径。本文从一般熵消逝函数构建对称粘贴虫洞，直接根据消逝和熵导数制定达莫瓦-以色列交界条件。推导表面应力等，应用于多种熵规定。分析表明对称构造在正消逝域需负表面能密度，所有 examined 常正压分支径向线性不稳定，可变查普利金壳可支持稳定构型。这些结果建立了统一框架，表明稳定性非仅由熵变形决定，还由其与喉部物质动力学响应的相互作用决定。
英文摘要
Modified black-hole entropies can induce effective spacetime geometries and thereby provide a thermodynamic route for investigating thin-shell wormholes. In this work, we construct symmetric cut-and-paste wormholes from the generic entropic lapse function $F_{\mathcal S}(r)=1-4πM/\mathcal S'(r)$ and formulate the Darmois--Israel junction conditions directly in terms of the lapse and of the entropy derivatives. We derive the surface stresses, shell energy-condition combinations, conservation equation, and radial effective potential, and then apply the formalism to the Bekenstein--Hawking, Barrow, Tsallis--Cirto, Rényi, Kaniadakis, logarithmic, loop-quantum-gravity-inspired, and exponential entropy prescriptions. The analysis shows that the symmetric construction requires negative surface energy density throughout every admissible positive-lapse domain, although entropy deformations can significantly modify the horizon structure, the allowed throat region, and the localization of the surface stresses. Within the parameter domains considered here, all examined constant-barotropic branches are linearly radially unstable, despite quantitative changes in their near-horizon scales. In contrast, a variable Chaplygin shell can support stable configurations, with the stability domains determined jointly by the entropic geometry, the throat radius, and the radial exponent of the shell equation of state. These results establish a unified framework for comparing entropy-induced black-hole geometries as thin-shell wormhole seeds and show that stability is governed not by the entropy deformation alone, but by its interplay with the dynamical response of the matter localized at the throat.
Comments37 pages, 21 figures
