Klein-Gordon equation and rotating black holes
Abstract
The Klein-Gordon equation for a scalar field of mass $\ensuremath{\mu}$ is analyzed in the geometry of a rotating black hole. It is shown that in the limit $\ensuremath{\mu}M\ensuremath{\ll}1$, i.e., particle Compton wavelength much larger than the size of the black hole, the scalar field is unstable with an $e$-folding time of $\ensuremath{\tau}={(\frac{a}{M})}^{\ensuremath{-}1}24{(\ensuremath{\mu}M)}^{\ensuremath{-}8}{\ensuremath{\mu}}^{\ensuremath{-}1}$.
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Black hole superradiance is a classical instability that draws energy from a spinning black hole and deposits it in field oscillations of a light scalar localized outside the horizon.
“Superradiance is a classical instability which draws energy from the black hole and deposits it in the field oscillations of a light scalar, localized in a spherical region outside the horizon.”
From Euclidean Wormholes, Baby Universes, and Their Impact on Particle Physics and Cosmology (2018) · cites this paper as Detweiler, 1980
In the opposite regime R ≪ 1/m, τ = 24 R (R/a)(mR)^{-9}.
“In the opposite regime R ≪ 1/m, one has (Detweiler, 1980) τ = 24 R (R/a) (mR) -9 . (69”
From Euclidean Wormholes, Baby Universes, and Their Impact on Particle Physics and Cosmology (2018) · cites this paper as Detweiler, 1980
Cites
Particle creation by black holes
Hawking, S. W. (1975) · Communications In Mathematical Physics · doi:10.1007/bf02345020 · Cited by 13,106 · see citing works
On quantum resonances in stationary geometries
Damour, T., Deruelle, N., & Ruffini, R. (1976) · Lettere Al Nuovo Cimento Series 2 · doi:10.1007/bf02725534 · Cited by 325 · see citing works
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Euclidean Wormholes, Baby Universes, and Their Impact on Particle Physics and Cosmology
Hebecker, A., Mikhail, T., & Soler, P. (2018) · Frontiers in Astronomy and Space Sciences · doi:10.3389/fspas.2018.00035 · Cited by 136 · see citing works
“In the opposite regime R 1/m, one has [142]”
Background
- Authors
- Detweiler, S.
- Affiliations
- Yale University (US)
- Corresponding author
- Detweiler, Steven
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1980-11-15
- Volume
- 22
- Issue
- 10
- Pages
- 2323-2326
- ISSN
- 0556-2821 (ISSN-L)
- OpenAlex
- W2122081959
- Cited by
- 611
- References
- 2
- Citations by year
- 2026: 44 · 2025: 72 · 2024: 51 · 2023: 45 · 2022: 45 · 2021: 49 · 2020: 37 · 2019: 38 · 2018: 22 · 2017: 24 · 2016: 26 · 2015: 32 · 2014: 27 · 2013: 24 · 2012: 14
- FWCI
- 0.31
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
- Funders
- National Science Foundation
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Astrophysical Phenomena and Observations
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Keywords
- Klein-Gordon equation, scalar field, rotating black holes, black hole perturbations, scalar field instability, Compton wavelength, e-folding time
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