Quasinormal modes of Reissner-Nordström-AdS black holes under physical field-vanishing boundary conditions

Fuente: arXiv
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Autori principali: Liu, Hui-Fa, Su, Qi, Zeng, Ding-fang
Natura: Preprint
Pubblicazione: 2025
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author Liu, Hui-Fa
Su, Qi
Zeng, Ding-fang
author_facet Liu, Hui-Fa
Su, Qi
Zeng, Ding-fang
contents Boundary conditions play a key role in determining the perturbation behavior of a black hole. Motivated by two guiding principles for single-field perturbations -- the non-deformation of the boundary metric and the vanishing of electromagnetic energy flux at the AdS boundary -- we impose a boundary condition for Reissner-Nordström-AdS (RN-AdS) black holes requiring both the metric and electromagnetic field-strength perturbations to vanish at the AdS boundary, which we term the physical field-vanishing (PFV) condition. Using the formulas for perturbation reconstruction, we translate the PFV condition into boundary conditions on the master functions: Dirichlet-type for odd-parity modes and Robin-type for even-parity modes. With these boundary conditions, we compute the quasinormal frequencies of RN-AdS black holes and identify new spectral features. The PFV prescription introduced here could be applied to other multifield perturbation systems in asymptotically AdS spacetimes.
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id arxiv_https___arxiv_org_abs_2512_01694
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quasinormal modes of Reissner-Nordström-AdS black holes under physical field-vanishing boundary conditions
Liu, Hui-Fa
Su, Qi
Zeng, Ding-fang
General Relativity and Quantum Cosmology
Boundary conditions play a key role in determining the perturbation behavior of a black hole. Motivated by two guiding principles for single-field perturbations -- the non-deformation of the boundary metric and the vanishing of electromagnetic energy flux at the AdS boundary -- we impose a boundary condition for Reissner-Nordström-AdS (RN-AdS) black holes requiring both the metric and electromagnetic field-strength perturbations to vanish at the AdS boundary, which we term the physical field-vanishing (PFV) condition. Using the formulas for perturbation reconstruction, we translate the PFV condition into boundary conditions on the master functions: Dirichlet-type for odd-parity modes and Robin-type for even-parity modes. With these boundary conditions, we compute the quasinormal frequencies of RN-AdS black holes and identify new spectral features. The PFV prescription introduced here could be applied to other multifield perturbation systems in asymptotically AdS spacetimes.
title Quasinormal modes of Reissner-Nordström-AdS black holes under physical field-vanishing boundary conditions
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2512.01694