含物质的Kasner eons：黑洞奇点的全息探索
Kasner eons with matter: holographic excursions to the black hole singularity
AI总结：
本文研究含物质的Kasner eons，证明物质会改变高阶曲率引力下奇点趋近的纪元物理，并通过全息可观测量捕捉黑洞内部纪元特征，为探测奇点附近弦论效应提供新工具。
摘要：
近期研究表明，在Einstein-Hilbert作用量中引入高阶曲率项后，类空奇点的趋近过程会表现为一系列Kasner eons（卡斯纳纪元）。每个纪元由特定阶数高阶曲率项所控制能标下的涌现物理主导，随着趋近奇点会过渡到更高阶纪元。本文的研究目的有两方面。首先，我们证明与真空情形相比，加入物质会显著改变纪元的物理性质。我们通过考虑一类与标量场最小耦合的任意阶准拓扑引力（quasi-topological gravities）来阐释这一点。其次，我们研究具有场论对偶的黑洞内部的Kasner eons，并分析它们在全息可观测量上的印记。我们表明，热a函数、重算子两点函数以及全息复杂度的行为能够捕捉纪元的独特特征，使其成为探测黑洞奇点附近弦论效应的有力工具。
英文摘要：
Recent work has shown that introducing higher-curvature terms to the Einstein-Hilbert action causes the approach to a space-like singularity to unfold as a sequence of Kasner eons. Each eon is dominated by emergent physics at an energy scale controlled by higher-curvature terms of a given order, transitioning to higher-order eons as the singularity is approached. The purpose of this paper is twofold. First, we demonstrate that the inclusion of matter dramatically modifies the physics of eons compared to the vacuum case. We illustrate this by considering a family of quasi-topological gravities of arbitrary order minimally coupled to a scalar field. Second, we investigate Kasner eons in the interior of black holes with field theory duals and analyze their imprints on holographic observables. We show that the behavior of the thermal $a$-function, two-point functions of heavy operators, and holographic complexity can capture distinct signatures of the eons, making them promising tools for diagnosing stringy effects near black hole singularities.
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