The DOI matches its Crossref record; 18 of the 18 references it cites were found in a registry or an index.
Characterizing black hole metrics in quadratic gravity
Open accessAbstract
The recent discovery of non-Schwarzschild black hole spacetimes has opened new directions of research in higher-derivative gravitational theories. However, despite intense analytical and numerical efforts, the link with the linearized theory is still poorly understood. In this work we address this point for the Einstein-Weyl Lagrangian, whose weak field limit is characterized by the standard massless graviton and a spin-2 ghost. We show that the strength of the Yukawa term at infinity determines the thermal properties of the black hole and the structure of the singularity near $r=0$. Moreover, inspired by recent results in the asymptotic safety scenario we investigate the consequences of an imaginary ghost mass. In this case we find a countable set of solutions all characterized by spatial oscillations of typical wavelength determined by the mass of the spin-2 field.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Renormalization of higher-derivative quantum gravity
Stelle, K. S. (1977) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.16.953 · Cited by 2,656
Classical gravity with higher derivatives
Stelle, K. S. (1978) · General Relativity and Gravitation · doi:10.1007/bf00760427 · Cited by 1,379
Electronic structure of primary solid solutions in metals
Friedel, J. (1954) · Advances In Physics · doi:10.1080/00018735400101233 · Cited by 1,238
The Asymptotic Safety Scenario in Quantum Gravity
Niedermaier, M. R., & Reuter, M. (2006) · Living Reviews in Relativity · doi:10.12942/lrr-2006-5 · Cited by 762
ASYMPTOTIC SAFETY IN HIGHER-DERIVATIVE GRAVITY
Benedetti, D., Machado, P. F., & Frank Saueressig, B. (2009) · Modern Physics Letters A · doi:10.1142/s0217732309031521 · Cited by 362
Black Holes in Higher Derivative Gravity
Lü, H., Perkins, A., Pope, C. N., & Stelle, K. S. (2015) · Physical Review Letters · doi:10.1103/physrevlett.114.171601 · Cited by 265
Taming perturbative divergences in asymptotically safe gravity
Benedetti, D., Machado, P. F., & Frank Saueressig, B. (2009) · Nuclear Physics B · doi:10.1016/j.nuclphysb.2009.08.023 · Cited by 195
Spherically symmetric solutions in higher-derivative gravity
Lü, H., Perkins, A., Pope, C. N., & Stelle, K. S. (2015) · Physical Review D · doi:10.1103/physrevd.92.124019 · Cited by 187
Holdom, B., & Ren, J. (2017) · Physical Review D · doi:10.1103/physrevd.95.084034 · Cited by 159
On the quantum field theory of the gravitational interactions
Anselmi, D. (2017) · Journal of High Energy Physics · doi:10.1007/jhep06(2017)086 · Cited by 126
Asymptotic safety of higher derivative quantum gravity non-minimally coupled with a matter system
Hamada, Y., & Yamada, M. (2017) · Journal of High Energy Physics · doi:10.1007/jhep08(2017)070 · Cited by 115
Quantum gravity, fakeons and microcausality
Anselmi, D., & Piva, M. (2018) · Journal of High Energy Physics · doi:10.1007/jhep11(2018)021 · Cited by 103
On the quantum field theory of the gravitational interactionsPreprint
Anselmi, D. (2018) · OSF Preprints (OSF Preprints) · Cited by 96
Explicit black hole solutions in higher-derivative gravity
(2018) · doi:10.1103/physrevd.98.021502 · Cited by 55
Asymptotic safety of higher derivative quantum gravity non-minimally coupled with a matter system
Hamada, Y., & Yamada, M. (2017) · Institutional Repositories DataBase (IRDB) · Cited by 47
Modulated ground state of gravity theories with stabilized conformal factor
Bonanno, A. M., & Reuter, M. (2013) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.87.084019 · Cited by 35
Self-citationIneffective higher derivative black hole hair
Goldstein, K., & Mashiyane, J. J. (2018) · Physical Review D · doi:10.1103/physrevd.97.024015 · Cited by 29
Gravitational Friedel oscillations in higher-derivative and infinite-derivative gravity?
Boos, J. (2018) · International Journal of Modern Physics D · doi:10.1142/s0218271818470223 · Cited by 29
Flagged first, then by citations
Cited by
Sorted by citations
Phase diagram of Einstein-Weyl gravity
Silveravalle, S., & Zuccotti, A. (2023) · Physical Review D · doi:10.1103/physrevd.107.064029 · Cited by 17
Self-citationNonsymmetric wormholes and localized big rip singularities in Einstein-Weyl gravity
Bonanno, A., Silveravalle, S., & Zuccotti, A. (2022) · Physical Review D · doi:10.1103/physrevd.105.124059 · Cited by 14
Self-citationCharting GLOBs in asymptotically safe gravity
Del Porro, F., Pfeiffer, J., Platania, A., & Silveravalle, S. (2026) · Journal of High Energy Physics · doi:10.1007/jhep02(2026)034 · Cited by 1
“The weak-field expression for the metric in Eq.”
Self-citation
Metadata
- Authors
- Bonanno, A., & Silveravalle, S.
- Affiliations
- Istituto Nazionale di Fisica Nucleare, Sezione di Catania (IT)
- University of Milano-Bicocca (IT)
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2019-05-24
- Volume
- 99
- Issue
- 10
- ISSN
- 2470-0010 (ISSN-L)
- 2470-0029
- OpenAlex
- W2950440727
- Cited by
- 48
- References
- 18
- Citations by year
- 2026: 2 · 2025: 10 · 2024: 13 · 2023: 11 · 2022: 2 · 2021: 5 · 2020: 4 · 2019: 1
- FWCI
- 1.56
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Physical review. D/Physical review. D. (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Iris (University of Trento) (submittedVersion, cc-by-nc-nd)
- arXiv (Cornell University)
- Funders
- Università degli Studi di Milano-Bicocca
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Noncommutative and Quantum Gravity Theories
- Keywords
- black hole solutions, quadratic gravity, higher-derivative gravity, massless graviton, singularity structure, asymptotic safety, linearized gravity
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
