Kasner interiors from analytic hairy black holes

We conduct an exhaustive study of the interior geometry of a family of asymptotically AdS<inf>d+1</inf> hairy black holes in an analytically controllable setup. The black holes are exact solutions to an Einstein-Maxwell-Dilaton theory and include the well-known Gubser-Rocha model. After...

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Detalles Bibliográficos
Autores: Areán, D., Jeong, H.-S., Pedraza, J.F., Qu, L.-C.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2024
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/407651
Acceso en línea:http://hdl.handle.net/10261/407651
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85211105316&doi=10.1007%2FJHEP11%282024%29138&partnerID=40&md5=bcd0181bcd3552a8e01c13fa2afaa989
Access Level:acceso abierto
Palabra clave:AdS-CFT Correspondence
Black Holes
Holography and Condensed Matter Physics (AdS/CMT)
Spacetime Singularities
Descripción
Sumario:We conduct an exhaustive study of the interior geometry of a family of asymptotically AdS<inf>d+1</inf> hairy black holes in an analytically controllable setup. The black holes are exact solutions to an Einstein-Maxwell-Dilaton theory and include the well-known Gubser-Rocha model. After reviewing the setup, we scrutinize the geometry beyond the horizon, finding that these backgrounds can exhibit timelike or Kasner singularities. We generalize the no inner-horizon theorem for hairy black holes to accommodate these findings. We then consider observables sensitive to the geometry behind the horizon, such as Complexity = Anything and the thermal a-function. In the Kasner case, we propose a new variant of complexity that characterizes the late-time rate by the Kasner exponents, extending previous work by Jørstad, Myers and Ruan. Additionally, we elucidate the power-law behavior of the thermal a-function near the singularity, directly relating it to the Kasner exponents. Finally, we introduce axion-like fields in the Gubser-Rocha model to study the impact of translational symmetry breaking on the black hole interior. We show that Kasner singularities occur for both explicit and spontaneous symmetry breaking, with the Kasner exponents depending on the strength of broken translations only in the latter case. © The Author(s) 2024.