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

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, tra...

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Bibliographic Details
Authors: Cáceres, E., Murcia Gil, Á.J., Patra, A.K., Pedraza, J.F.
Format: article
Status:Published version
Publication Date:2024
Country:España
Institution:Consejo Superior de Investigaciones Científicas (CSIC)
Repository:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/413868
Online Access:http://hdl.handle.net/10261/413868
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85211803817&doi=10.1007%2FJHEP12%282024%29077&partnerID=40&md5=de6ed4583e92c01033a5e3ce0dfb194c
Access Level:Open access
Keyword:AdS-CFT Correspondence
Classical Theories of Gravity
Gauge-Gravity Correspondence
Spacetime Singularities
Description
Summary: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. © The Author(s) 2024.