Comment on `An extreme critical spacetime: echoing and black-hole perturbations'
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We show that the black hole perturbations of the Hayward static solution to the massless Einstein-Klein-Gordon equations are actually gauge artifacts resulting from the linearization of a coordinate transformation.
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The ω_B modes are spurious, artifacts arising from the linearization of a coordinate transformation, and only the ω_A modes correspond to physical perturbations.
“However, it was later clarified in [287] that the ω B modes are spurious, artifacts arising from the linearization of a coordinate transformation, and only the ω A modes correspond to physical perturbations.”
From Unveiling horizons in quantum critical collapse (2026) · cites this paper as [287]
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Cites
Universality and scaling in gravitational collapse of a massless scalar field
Choptuik, M. W. (1993) · Physical Review Letters · doi:10.1103/physrevlett.70.9 · Cited by 1,439 · see citing works
Scalar field counterexamples to the cosmic censorship hypothesis
Roberts, M. D. (1989) · General Relativity and Gravitation · doi:10.1007/bf00769864 · Cited by 172 · see citing works
Analytic example of critical behaviour in scalar field collapse
Brady, P. R. (1994) · Classical and Quantum Gravity · doi:10.1088/0264-9381/11/5/012 · Cited by 107 · see citing works
Critical Behavior of Black Hole Formation in a Scalar Wave Collapse
Oshiro, Y., Nakamura, K., & Tomimatsu, A. (1994) · Progress of Theoretical Physics · doi:10.1143/ptp/91.6.1265 · Cited by 82 · see citing works
Frolov, A. V. (1997) · Physical Review D · doi:10.1103/physrevd.56.6433 · Cited by 37 · see citing works
An extreme critical spacetime: echoing and black-hole perturbations
Hayward, S. A. (2000) · Classical and Quantum Gravity · doi:10.1088/0264-9381/17/19/304 · Cited by 14 · see citing works
Self-citationAn extreme critical space-time: echoing and black-hole perturbations
Hayward, S. A. (2000) · CERN Document Server (European Organization for Nuclear Research) · Cited by 11 · see citing works
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Research works printed but not linked: 6
- S.A. Hayward, Class. Quantum Grav. 17, 4021 (2000)
- A.V. Frolov, Phys. Rev. D 56, 6433 (1997)
- M.D. Roberts, Gen. Rel. Grav. 21, 907 (1989);
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Critical collapse in (2+1)-dimensional AdS spacetime: quasi-CSS solutions and linear perturbations
Clément, G., & Fabbri, A. (2002) · Nuclear Physics B · doi:10.1016/s0550-3213(02)00183-9 · Cited by 30 · see citing works
Self-citationUnveiling horizons in quantum critical collapse
Tomašević, M., & Wu, C.-H. (2026) · Journal of High Energy Physics · doi:10.1007/jhep04(2026)151 · Cited by 5 · see citing works
- Authors
- Clément, G., & Hayward, S. A.
- Affiliations
- Centre National de la Recherche Scientifique (FR)
- Ewha Womans University (KR)
- ORCID
- Clément, Gérard
- Venue
- Classical and Quantum Gravity
- Publisher
- IOP Publishing
- Published
- 2001-10-25
- Volume
- 18
- Issue
- 21
- Pages
- 4715-4716
- ISSN
- 0264-9381 (ISSN-L)
- 1361-6382
- OpenAlex
- W2154753984
- Cited by
- 8
- References
- 7
- Citations by year
- 2026: 1 · 2021: 2 · 2015: 1 · 2012: 1
- FWCI
- 0.20
- Type
- journal article
- Language
- en
- Open access
- green
- hal.science
- Locations
- Classical and Quantum Gravity (publishedVersion)
- HAL (submittedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Pulsars and Gravitational Waves Research
- Keywords
- black hole perturbations, Einstein-Klein-Gordon equations, massless scalar field, coordinate transformation, linearization, extremal black holes
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