$k-$形变史瓦西-反德西特黑洞弦
$k-$deformed Schwarzschild AdS black strings
- University of Mazandaran（马赞德兰大学）
- Khazar University（哈扎尔大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文在柱对称时空中构造了κ-形变史瓦西-反德西特黑洞弦精确解，分析其几何与热力学性质，并验证扩展第一定律和修正斯马尔关系，最后通过稀疏参数研究霍金辐射。该研究为量子引力效应下的黑洞物理提供了新见解。
AI中文摘要：
考虑柱对称时空，在存在负宇宙学常数的情况下，推导出了广义相对论中一个新的精确$\kappa$-形变史瓦西-反德西特黑洞弦解。通过计算里奇和克雷奇曼曲率标量，系统地研究了所得解的几何性质。分析揭示了原点处存在曲率奇点，在$\kappa$-形变参数满足特定约束的条件下，该奇点仍被事件视界所包围。随后，详细考察了各种模型参数对视界结构和构型的影响。对这些黑洞弦的热力学性质进行了全面评估；在这方面，自洽地提取了霍金温度、熵、质量、等压热容和吉布斯自由能。全面探讨了各参数，特别是$\kappa$-形变参数对这些热力学量的影响。此外，证明了这些状态变量从根本上满足黑洞热力学扩展第一定律，并给出了修正的斯马尔关系。最后，通过无量纲稀疏参数探测了霍金辐射的时间轮廓，并系统分析了相关参数对量子发射率的影响。
英文摘要：
Considering a cylindrically symmetric spacetime, a novel exact $κ$-deformed Schwarzschild-AdS black string solution is derived in General Relativity in the presence of a negative cosmological constant. The geometric properties of the resulting solution are systematically investigated by computing the Ricci and Kretschmann curvature scalars. The analysis reveals the existence of a curvature singularity at the origin, which remains enclosed by an event horizon provided that the $κ$-deformation parameter satisfies a specific constraint. Subsequently, the influence of various model parameters on the horizon structure and configuration is examined in detail. The thermodynamic properties of these black strings are thoroughly evaluated; in this regard, the Hawking temperature, entropy, mass, isobaric heat capacity, and Gibbs free energy are self-consistently extracted. The effects of the parameters, particularly the $κ$-deformation parameter, on these thermodynamic quantities are comprehensively explored. Furthermore, it is demonstrated that these state variables fundamentally satisfy the extended first law of black hole thermodynamics and yield a modified Smarr relation. Finally, the temporal profile of the Hawking radiation is probed via the dimensionless sparsity parameter, through which the impacts of the underlying parameters on the quantum emission rate are systematically analyzed.
