标题： 关于爱因斯坦三次引力及其推广中的黑洞解的物理可行性 显示英文标题

标题： On the physical viability of black hole solutions in Einsteinian Cubic Gravity and its generalisations

摘要： 在本文中，我们讨论爱因斯坦三次引力及其扩展理论中黑洞的病态性质。我们计算奇数扰动的方程，并说明渐近趋于最大对称空间（闵可夫斯基、德西特或反德西特）的球对称解如何与方程的渐近退化主部相关联。我们利用这些结果论证，除了众所周知的健康情况$f(R)$外，任何其他三次或更高阶的理论在最大对称空间附近具有简化的线性谱时，都会遇到类似的问题。我们强调，这些病态只有在将该理论视为完整理论时才令人担忧，而在将其视为广义相对论的微扰修正（如有效场论框架中的情况）时则不构成问题，因为低能物理仍然安全。因此，我们的结果对基于这些理论的奇点解决或视界上的非微扰效应的可能性提出了质疑。 显示英文摘要

摘要： In this note, we discuss the pathological nature of black holes in Einsteinian Cubic gravity and its extensions. We compute the equations for the odd perturbations and show how spherically symmetric solutions that asymptotically approach a maximally symmetric space (Minkowski, de Sitter or anti-de Sitter) are associated to having an asymptotically degenerate principal part of the equations. We use these results to argue that the encountered problems will be generic for any other cubic or higher-order with a reduced linear spectrum around maximally symmetric spaces except the well-known healthy case of $f(R)$. We highlight that these pathologies are only alarming when the theory is regarded as a complete theory, but not when considered as a perturbative correction to GR (as in e.g. the effective field theory framework) since the the low-energy physics remains safe from them. Our results thus cast doubts on possible resolutions of the singularities or non-perturbative effects on horizons based on these theories.