Blackish holes

Abstract Based on previous works, in this article we systematically analyze the implications of the explicit normal modes of a probe scalar sector in a BTZ background with a Dirichlet wall, in an asymptotically AdS-background. This is a Fuzzball-inspired geometric model, at least in an effective sen...

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Main Authors: Souvik Banerjee, Suman Das, Arnab Kundu, Michael Sittinger
Format: Article
Language:English
Published: SpringerOpen 2025-07-01
Series:Journal of High Energy Physics
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Online Access:https://doi.org/10.1007/JHEP07(2025)239
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author Souvik Banerjee
Suman Das
Arnab Kundu
Michael Sittinger
author_facet Souvik Banerjee
Suman Das
Arnab Kundu
Michael Sittinger
author_sort Souvik Banerjee
collection DOAJ
description Abstract Based on previous works, in this article we systematically analyze the implications of the explicit normal modes of a probe scalar sector in a BTZ background with a Dirichlet wall, in an asymptotically AdS-background. This is a Fuzzball-inspired geometric model, at least in an effective sense. We demonstrate explicitly that in the limit when the Dirichlet wall approaches the event horizon, the normal modes condense fast to yield an effective branch cut along the real line in the complex frequency plane. In turn, in this approximation, quasi-normal modes associated to the BTZ black hole emerge and the corresponding two-point function is described by a thermal correlator, associated with the Hawking temperature in the general case and with the right-moving temperature in the extremal limit. We further show, analytically, that the presence of a non-vanishing angular momentum non-perturbatively enhances this condensation. The consequences are manifold: e.g. there is an emergent strong thermalization due to these modes, adding further support to a quantum chaotic nature associated to the spectral form factor. We explicitly demonstrate, by considering a classical collapsing geometry, that the one-loop scalar determinant naturally inherits a Dirichlet boundary condition, as the shell approaches the scale of the event horizon. This provides a plausible dynamical mechanism in the dual CFT through a global quench, that can create an emergent Dirichlet boundary close to the horizon-scale. We offer comments on how this simple model can describe salient features of Fuzzball-geometries, as well as of extremely compact objects. This also provides an explicit realization of how an effective thermal physics emerges from a non-thermal microscopic description, within a semi-classical account of gravity, augmented with an appropriate boundary condition.
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spelling doaj-art-ce97d20a7f3e4d119b9bf5be125f7eb92025-08-20T03:42:40ZengSpringerOpenJournal of High Energy Physics1029-84792025-07-012025716010.1007/JHEP07(2025)239Blackish holesSouvik Banerjee0Suman Das1Arnab Kundu2Michael Sittinger3Institut für Theoretische Physik und Astrophysik, Julius-Maximilians-Universität WürzburgMandelstam Institute for Theoretical Physics, School of Physics, University of the WitwatersrandInstitut für Theoretische Physik und Astrophysik, Julius-Maximilians-Universität WürzburgInstitut für Theoretische Physik und Astrophysik, Julius-Maximilians-Universität WürzburgAbstract Based on previous works, in this article we systematically analyze the implications of the explicit normal modes of a probe scalar sector in a BTZ background with a Dirichlet wall, in an asymptotically AdS-background. This is a Fuzzball-inspired geometric model, at least in an effective sense. We demonstrate explicitly that in the limit when the Dirichlet wall approaches the event horizon, the normal modes condense fast to yield an effective branch cut along the real line in the complex frequency plane. In turn, in this approximation, quasi-normal modes associated to the BTZ black hole emerge and the corresponding two-point function is described by a thermal correlator, associated with the Hawking temperature in the general case and with the right-moving temperature in the extremal limit. We further show, analytically, that the presence of a non-vanishing angular momentum non-perturbatively enhances this condensation. The consequences are manifold: e.g. there is an emergent strong thermalization due to these modes, adding further support to a quantum chaotic nature associated to the spectral form factor. We explicitly demonstrate, by considering a classical collapsing geometry, that the one-loop scalar determinant naturally inherits a Dirichlet boundary condition, as the shell approaches the scale of the event horizon. This provides a plausible dynamical mechanism in the dual CFT through a global quench, that can create an emergent Dirichlet boundary close to the horizon-scale. We offer comments on how this simple model can describe salient features of Fuzzball-geometries, as well as of extremely compact objects. This also provides an explicit realization of how an effective thermal physics emerges from a non-thermal microscopic description, within a semi-classical account of gravity, augmented with an appropriate boundary condition.https://doi.org/10.1007/JHEP07(2025)239AdS-CFT CorrespondenceBlack HolesBlack Holes in String Theory
spellingShingle Souvik Banerjee
Suman Das
Arnab Kundu
Michael Sittinger
Blackish holes
Journal of High Energy Physics
AdS-CFT Correspondence
Black Holes
Black Holes in String Theory
title Blackish holes
title_full Blackish holes
title_fullStr Blackish holes
title_full_unstemmed Blackish holes
title_short Blackish holes
title_sort blackish holes
topic AdS-CFT Correspondence
Black Holes
Black Holes in String Theory
url https://doi.org/10.1007/JHEP07(2025)239
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AT sumandas blackishholes
AT arnabkundu blackishholes
AT michaelsittinger blackishholes