Gubser-Mitra猜想的解析证据
Analytic evidence for the Gubser-Mitra conjecture
摘要：
利用Kol提出的规范，导出了带电黑弦静态微扰的一个简单的主方程。当电荷变化时，发现主方程中的扰动势恰好在比热为正时变为正值，从而禁止了束缚态和Gregory-Laflamme不稳定性的发生。我们可以有把握地说，这是古布瑟-米特拉猜想的第一个解析和明确的证据，它将黑膜的经典和热力学不稳定性联系起来。可能的概括的分析也进行了讨论。
英文摘要：
A simple master equation for the static perturbation of charged black strings is derived while employing the gauge proposed by Kol. As the charge is varied it is found that the potential in the master equation for the perturbations becomes positive exactly when the specific heat turns positive thus forbidding a bound state and the onset of the Gregory-Laflamme instability. It can safely be said that this is the first analytic and explicit evidence for the Gubser-Mitra conjecture, correlating the classical and thermodynamic instabilities of black branes. Possible generalizations of the analysis are also discussed.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
