Lovelock理论中程函不稳定性的描述
The portrait of eikonal instability in Lovelock theories
摘要：
本文讨论了Einstein-Gauss-Bonnet理论及其Lovelock推广中黑洞和膜的微扰和程函不稳定性的几种特殊情况，其中渐近条件（flat，dS，AdS），时空维数$D$，非零耦合常数（$α_1$，$α_2$，$α_3$等）.并且以特定的方式选择其他参数。本文对\emph{most general} Lovelock理论中黑洞和膜的程函不稳定性进行了全面的分析，不受上述任何一种情况的限制。虽然在这里的稳定性分析的一部分是纯粹的分析和制定的黑洞参数的不等式，最一般的情况下，处理数值和准确的区域的不稳定性。共享的Mathematica（R）代码允许读者为任何所需的参数值构建程函不稳定性区域。
英文摘要：
Perturbations and eikonal instabilities of black holes and branes in the Einstein-Gauss-Bonnet theory and its Lovelock generalization were considered in the literature for several particular cases, where the asymptotic conditions (flat, dS, AdS), the number of spacetime dimensions $D$, non-vanishing coupling constants ($α_1$, $α_2$, $α_3$ etc.) and other parameters have been chosen in a specific way. Here we give a comprehensive analysis of the eikonal instabilities of black holes and branes for the \emph{most general} Lovelock theory, not limited by any of the above cases. Although the part of the stability analysis is performed here purely analytically and formulated in terms of the inequalities for the black hole parameters, the most general case is treated numerically and the accurate regions of instabilities are presented. The shared Mathematica(R) code allows the reader to construct the regions of eikonal instability for any desired values of the parameters.
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