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Kasner eons with matter: holographic excursions to the black hole singularity

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arxiv 2408.14535 v2 pith:GD67L3AV submitted 2024-08-26 hep-th gr-qc

Kasner eons with matter: holographic excursions to the black hole singularity

classification hep-th gr-qc
keywords eonsblackholographickasnersingularityfieldhigher-curvaturehole
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 5 Pith papers

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  3. Analytical studies on 3D hairy rotating black hole interiors

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    In O(d,d) symmetric gravity with curvature corrections, black brane singularities are not resolved but approach with altered Kasner exponents, while a dilaton generates negative cosmological constants at small coupling.

  5. Holographic timelike entanglement and subregion complexity with scalar hair

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