CoChat
Sign Up
Cited by 433Cosmology and Gravitation TheoriesBlack Holes and Theoretical PhysicsRelativity and Gravitational Theory

Black holes in the Brans-Dicke: Theory of gravitation

Hawking, S. W.·1972·Communications in Mathematical Physics
DOI 10.1007/bf01877518
Open this paper in CoChat — free account

Integrity signals

Registry

Crossref · 10.1007/bf01877518

Cites

9 of 9 references verified0 citation errors · 0 not checkable

Statistics

Recomputing p-values needs the paper’s full text.

Claims the paper makes

We couldn’t retrieve this paper’s full text, so its claims and self-check weren’t run. The registry and citation checks still apply.

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?

  • Classically, the area of the event horizon can never decrease, and when two black holes collide and merge, the area of the final event horizon is greater than the sum of the areas of the two original horizons.

    “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]

  • As the mass of the black hole decreases, the area of the event horizon would have to go down, violating the classical law that area cannot decrease.

    “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]

  • According to classical theory, gravitational collapse produces a black hole that settles rapidly to a stationary axisymmetric equilibrium state characterized by mass, angular momentum, and electric charge.

    “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]

  • High curvatures occur in collapsing stars and at the beginning of the present universe, and are hidden from us by an event horizon.

    “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]

  • The decrease in area of the event horizon is caused by a violation of the weak energy condition which arises from the indeterminacy of particle number and energy density in a curved spacetime.

    “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]

Cites

Flagged first, then by citations

Cited by

Sorted by citations

Related

Authors
Hawking, S. W.
Affiliations
University of Cambridge (GB)
Corresponding author
Hawking, S. W.
ORCID
Hawking, S. W.
Venue
Communications in Mathematical Physics
Publisher
Springer Science and Business Media LLC
Published
1972-06
Volume
25
Issue
2
Pages
167-171
ISSN
  • 0010-3616 (ISSN-L)
  • 1432-0916
DOI
10.1007/bf01877518
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.

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