Superradiance and Instability of Black Holes

Hideo Kodama (KEK)

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Superradiance and Instability of Black Holes

Hideo Kodama (KEK)

High Energy Physics - Theory · Submitted 27 Nov 2007

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim In particular, we point out that the superradiant instability of a massless scalar field around a simply rotating Kerr-adS black hole implies the gravitational instability of that black hole for tensor-type perturbations.

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.08 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.08 · mentions code or data availability 0.02.

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We discuss the relation between the superradiance phenomenon and the instability of rotating black holes in higher dimensions. In particular, we point out that the superradiant instability of a massless scalar field around a simply rotating Kerr-adS black hole implies the gravitational instability of that black hole for tensor-type perturbations.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We discuss the relation between the superradiance phenomenon and the instability of rotating black holes in higher dimensions.	contribution 0.69	0.66	0.07	unclear 0.83
s1	In particular, we point out that the superradiant instability of a massless scalar field around a simply rotating Kerr-adS black hole implies the gravitational instability of that black hole for tensor-type perturbations.	result 0.63	0.85	0.81	asserted 0.90

What kind of paper the classifier reports this is: theoretical result 0.98 · evidence from argument 0.54.

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The paper

Original abstract

We discuss the relation between the superradiance phenomenon and the instability of rotating black holes in higher dimensions. In particular, we point out that the superradiant instability of a massless scalar field around a simply rotating Kerr-adS black hole implies the gravitational instability of that black hole for tensor-type perturbations.

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References

Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Superradiant instabilities in astrophysical systems
gr-qc 2012-12 conditional novelty 7.0 of 10

Numerical evolutions show massive vector fields around a rapidly spinning black hole grow on a timescale of about 3,300 black-hole masses, roughly four orders of magnitude faster than scalars, and that multi-mode beat...
Black holes with only one Killing field
hep-th 2011-05 conditional novelty 7.0 of 10

Five-dimensional anti-de Sitter black holes with scalar hair are constructed that possess only one Killing field, evading the axisymmetry theorems that constrain ordinary stationary black holes.
Black Hole Spin Constraints on the Mass Spectrum and Number of Axion-like Fields
hep-ph 2018-05 conditional novelty 5.0 of 10

Combining black-hole superradiance exclusions with statistical mass distributions rules out roughly 30 or more axion-like fields for a wide range of distribution widths and central masses.

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19 arXiv papers cite this in 27 sentences

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Papers citing it · 21 sentences without a confident label

Uses its method or tool 1 paper

In this work, we have used the results of a previous analysis performed by one of the authors [ref] according to which the derivation of the field equations for tensor-type gravitational perturbations is indeed possible under the assumption that the spacetime manifold is the warped product of two submanifolds with its line element having the form of Eq. (1).

Graviton Emission in the Bulk by a Simply Rotating Black Hole · Conclusions · 0.85

Cites it as background 5 papers

Although the stability analysis of rotating black holes is difficult because of the difficulty in separating the variables, there are some works on this subject [ref] .

Phase Transitions of Charged Kerr-AdS Black Holes from Large-N Gauge Theories · Discussion · 0.92
Nice discussions of superradiance and its relation to the instability of rotating black holes can be found in [ref] .] The maximally extended solutions of these black holes correspond to thermo-field double states in the boundary theory at fixed charges or chemical potentials [ref] .

Bulk Cluster Decomposition in AdS/CFT and A No-Go Theorem for Correlators in Microstates of Extremal Black Holes · Introduction and summary · 0.90
The results obtained in these directions so far restricts mainly to non-rotating (or not generally rotating) black holes (see, e.g., [ref] , [ref] , [ref] , [ref] , [ref] , [ref] , [ref] , [ref] , [ref] , [ref] , [ref] , [ref] , [ref] , [ref] , [ref] , [ref] , [ref] , [ref] , [ref] , [ref] , and references therein).

Hidden Symmetries of Higher-Dimensional Rotating Black Holes · Discussion · 0.89

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