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带Quintessence和宇宙学常数的带电Letelier--Alencar黑弦

Charged Letelier--Alencar Black Strings with a Quintessence and the Cosmolgical Constant

B. Eslam Panah, F. M. da Silva, L. G. Barbosa

arXiv 2609.31227首次发表:更新:

发表机构

University of Mazandaran; Khazar University; Universidade Federal de Santa Catarina; University of Tübingen(马赞德兰大学; 哈扎尔大学; 圣卡塔琳娜联邦大学; 蒂宾根大学)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本研究在爱因斯坦-麦克斯韦-Λ理论中构造了含Letelier--Alencar弦云和quintessence的带电黑弦解,验证了热力学定律并分析了稳定性,同时推广了光子柱半径方程。

AI 中文摘要

本研究在爱因斯坦-麦克斯韦-$\Lambda$理论框架下,推导了存在Letelier--Alencar弦云和quintessence时的带电黑弦解。我们研究了曲率标量以探讨这些解的渐近行为。我们计算了相关的守恒量和热力学量,确认它们满足热力学第一定律。通过热容和吉布斯自由能严格分析了系统的稳定性,识别了局部和全局平衡的区间。此外,通过将宇宙学常数解释为扩展相空间中的热力学压力,我们确立了扩展第一定律的有效性,并推导了这些解对应的Smarr关系。我们还研究了零测地线结构,推导了光子柱半径的方程,该方程通过纳入Letelier--Alencar弦云和quintessence的效应,推广了已知的带电黑弦结果。对该方程的数值分析确定了光子柱的存在性和位置作为模型参数的函数。

英文摘要

This study derives charged black string solutions in the presence of a Letelier--Alencar cloud of strings and quintessence within Einstein--Maxwell--$Λ$ theory. We study the curvature scalars in order to investigate the asymptotical behavior of these solutions. We calculate the relevant conserved and thermodynamic quantities, confirming their compliance with the first law of thermodynamics. System stability is rigorously analyzed through heat capacity and Gibbs free energy, identifying regimes of local and global equilibrium. Additionally, by interpreting the cosmological constant as thermodynamic pressure within an extended phase space, we establish the validity of the extended first law and derive the corresponding Smarr relation for these solutions. We also investigate the null geodesic structure, deriving the equation for the photon cylinder radius, which generalizes the known result for charged black strings by incorporating the effects of the Letelier--Alencar cloud of strings and quintessence. The numerical analysis of this equation determines the existence and location of photon cylinders as functions of the model parameters.

论文原文

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