The DOI matches its Crossref record, with a small difference in title or year; 9 of the 9 references it cites were found in a registry or an index.
Black holes in the Brans-Dicke: Theory of gravitation
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“There is an obvious analogy with the second law of thermodynamics in the law that, classically, the area of the event horizon can never decrease and that when two black holes collide and merge together, the area of the final event horizon is greater than the sum of the areas of the two original horizons [7, 12].”
From Particle creation by black holes (1975) · cites this paper as [7]
In the citing paper
“As the mass of the black hole decreased, the area of the event horizon would have to go down, thus violating the law that, classically, the area cannot decrease [7, 12].”
From Particle creation by black holes (1975) · cites this paper as [7]
In the citing paper
“It is now generally believed that, according to classical theory, a gravitational collapse will produce a black hole which will settle down rapidly to a stationary axisymmetric equilibrium state characterized by its mass, angular momentum and electric charge [7, 13].”
From Particle creation by black holes (1975) · cites this paper as [7]
In the citing paper
“From the classical singularity theorems [3-6], one would expect such high curvatures to occur in collapsing stars and, in the past, at the beginning of the present espe se e oone o on oet e ne o e e osones of high curvature to be hidden from us by an event horizon [7].”
From Particle creation by black holes (1975) · cites this paper as [7]
In the citing paper
“The decrease in area of the event horizon is caused by a violation of the weak energy condition [5–7, 12] which arises from the indeterminacy of particle number and energy density in a curved space-time.”
From Particle creation by black holes (1975) · cites this paper as [7]
In the citing paper
“A wave packet of a classical Boson field will obey the weak energy condition: the local energy density for any observer is non-negative. It follows from this [7, 12] that the change in area dA induced by the wave-packet will be non-negative.”
From Particle creation by black holes (1975) · cites this paper as [7]
Citations
Cites
Black holes in general relativity
Hawking, S. W. (1972) · Communications in Mathematical Physics · doi:10.1007/bf01877517 · Cited by 1,561
Self-citationMach's Principle and Invariance under Transformation of Units
Dicke, R. H. (1962) · Physical Review · doi:10.1103/physrev.125.2163 · Cited by 830
Asymptotic Properties of Fields and Space-Times
Penrose, R. (1963) · Physical Review Letters · doi:10.1103/physrevlett.10.66 · Cited by 785
Evidence for Discovery of Gravitational Radiation
Weber, J. (1969) · Physical Review Letters · doi:10.1103/physrevlett.22.1320 · Cited by 548
Equivalence Principle for Massive Bodies. II. Theory
Nordtvedt, K. L., Jr. (1968) · Physical Review · doi:10.1103/physrev.169.1017 · Cited by 402
Killing Horizons and Orthogonally Transitive Groups in Space-Time
Carter, B. (1969) · Journal of Mathematical Physics · doi:10.1063/1.1664763 · Cited by 261
Spaced Receiver Observations of Radio Pulses
Charman, W. N., Jelley, J. V., Fruin, J. H., Hodgson, E. R., Scott, P. F., Shakeshaft, J. R., BAIRD, G. A., Delaney, T., Lawless, B., Drever, R. W. P., et al. (1970) · Nature · doi:10.1038/228346a0 · Cited by 33
Disc-cylinder Argonne-Maryland gravitational radiation experiments
Weber, J. (1971) · Il Nuovo cimento della Società italiana di fisica. B/Il Nuovo cimento B · doi:10.1007/bf02728232 · Cited by 25
Upper Limit on Neutrino Energy Associated with Weber Pulses
Bahcall, J. N., & Davis, R. E. (1971) · Physical Review Letters · doi:10.1103/physrevlett.26.662 · Cited by 12
Flagged first, then by citations
Cited by
Sorted by citations
Modified gravity and cosmology
Clifton, T., Ferreira, P. G., Padilla, A., & Skordis, C. (2012) · Physics Reports · doi:10.1016/j.physrep.2012.01.001 · Cited by 4,630
The Confrontation between General Relativity and Experiment
Will, C. M. (2014) · Living Reviews in Relativity · doi:10.12942/lrr-2014-4 · Cited by 3,996
Theory and Experiment in Gravitational Physics
Will, C. M. (2018) · doi:10.1017/9781316338612 · Cited by 3,637
Testing general relativity with present and future astrophysical observations
Berti, E., Barausse, E., Cardoso, V., Gualtieri, L., Pani, P., Sperhake, U., Stein, L. C., Wex, N., Yagi, K., Baker, T., et al. (2015) · Classical and Quantum Gravity · doi:10.1088/0264-9381/32/24/243001 · Cited by 1,680
Tensor-multi-scalar theories of gravitation
Damour, T., & Esposito-Farese, G. (1992) · Classical and Quantum Gravity · doi:10.1088/0264-9381/9/9/015 · Cited by 1,016
Metadata
- Authors
- Hawking, S. W.
- Affiliations
- University of Cambridge (GB)
- Corresponding author
- Hawking, S. W.
- ORCID
- Hawking, S. W.
- Venue
- Communications in Mathematical Physics
- Published
- 1972-06
- Volume
- 25
- Issue
- 2
- Pages
- 167-171
- ISSN
- 0010-3616 (ISSN-L)
- 1432-0916
- OpenAlex
- W2044258715
- Cited by
- 433
- References
- 9
- Citations by year
- 2026: 13 · 2025: 25 · 2024: 26 · 2023: 21 · 2022: 21 · 2021: 25 · 2020: 30 · 2019: 32 · 2018: 43 · 2017: 14 · 2016: 24 · 2015: 17 · 2014: 19 · 2013: 13 · 2012: 4
- FWCI
- 2.68
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Communications in Mathematical Physics (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- 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
- Keywords
- Brans-Dicke theory, black holes, Einstein field equations, scalar-tensor gravity, black hole collisions, stellar collapse
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.
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