Holographic black hole cosmologies

Abstract We describe and study a holographic construction of big-bang / big-crunch cosmological spacetimes where the matter consists of a lattice of black holes. The cosmological spacetime is dual to an entangled state of a collection of holographic CFTs associated with the second asymptotic regions...

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Main Authors: Abhisek Sahu, Mark Van Raamsdonk
Format: Article
Language:English
Published: SpringerOpen 2025-05-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP05(2025)233
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author Abhisek Sahu
Mark Van Raamsdonk
author_facet Abhisek Sahu
Mark Van Raamsdonk
author_sort Abhisek Sahu
collection DOAJ
description Abstract We describe and study a holographic construction of big-bang / big-crunch cosmological spacetimes where the matter consists of a lattice of black holes. The cosmological spacetime is dual to an entangled state of a collection of holographic CFTs associated with the second asymptotic regions of the black holes. For a cosmology with spatial slice geometry Σ, this state is constructed via a Euclidean path integral for the CFT on a geometry obtained by connecting two copies of Σ by a lattice of tubes. In three-dimensional gravity, we describe the cosmological solutions and the associated Euclidean saddles explicitly. For the case of (globally) flat cosmology, we determine when the Euclidean solution associated with the cosmology provides the dominant saddle compared to other natural candidates that preserve the symmetries of the boundary space. We find that the cosmological saddle dominates when the black holes are sufficiently large and close together. Our cosmology has a mixed state version where the physics behind the black hole horizons is unspecified and the Euclidean construction involves a pair of CFTs with an ensemble of operator insertions correlated between the two CFTs. Various purifications (adding second asymptotic regions for the black holes) correspond to various ways to promote this ensemble to an interaction by adding auxiliary degrees of freedom that couple the two CFTs in the Euclidean picture. These auxiliary degrees of freedom provide a Hilbert space for the cosmology in the Lorentzian picture.
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spelling doaj-art-e2c38d8f0aa64f96afa78b28b46547a52025-08-20T02:30:49ZengSpringerOpenJournal of High Energy Physics1029-84792025-05-012025513510.1007/JHEP05(2025)233Holographic black hole cosmologiesAbhisek Sahu0Mark Van Raamsdonk1Department of Physics and Astronomy, University of British ColumbiaDepartment of Physics and Astronomy, University of British ColumbiaAbstract We describe and study a holographic construction of big-bang / big-crunch cosmological spacetimes where the matter consists of a lattice of black holes. The cosmological spacetime is dual to an entangled state of a collection of holographic CFTs associated with the second asymptotic regions of the black holes. For a cosmology with spatial slice geometry Σ, this state is constructed via a Euclidean path integral for the CFT on a geometry obtained by connecting two copies of Σ by a lattice of tubes. In three-dimensional gravity, we describe the cosmological solutions and the associated Euclidean saddles explicitly. For the case of (globally) flat cosmology, we determine when the Euclidean solution associated with the cosmology provides the dominant saddle compared to other natural candidates that preserve the symmetries of the boundary space. We find that the cosmological saddle dominates when the black holes are sufficiently large and close together. Our cosmology has a mixed state version where the physics behind the black hole horizons is unspecified and the Euclidean construction involves a pair of CFTs with an ensemble of operator insertions correlated between the two CFTs. Various purifications (adding second asymptotic regions for the black holes) correspond to various ways to promote this ensemble to an interaction by adding auxiliary degrees of freedom that couple the two CFTs in the Euclidean picture. These auxiliary degrees of freedom provide a Hilbert space for the cosmology in the Lorentzian picture.https://doi.org/10.1007/JHEP05(2025)233AdS-CFT CorrespondenceBlack HolesCosmological models
spellingShingle Abhisek Sahu
Mark Van Raamsdonk
Holographic black hole cosmologies
Journal of High Energy Physics
AdS-CFT Correspondence
Black Holes
Cosmological models
title Holographic black hole cosmologies
title_full Holographic black hole cosmologies
title_fullStr Holographic black hole cosmologies
title_full_unstemmed Holographic black hole cosmologies
title_short Holographic black hole cosmologies
title_sort holographic black hole cosmologies
topic AdS-CFT Correspondence
Black Holes
Cosmological models
url https://doi.org/10.1007/JHEP05(2025)233
work_keys_str_mv AT abhiseksahu holographicblackholecosmologies
AT markvanraamsdonk holographicblackholecosmologies