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Cited by 1,133

The DOI matches its Crossref record; 5 of the 5 references it cites were found in a registry or an index.

Particle emission rates from a black hole: Massless particles from an uncharged, nonrotating hole

Page, Don N.·1976·Physical Review D
DOI 10.1103/physrevd.13.198
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Abstract

Hawking has predicted that a black hole will emit particles as if it had a temperature proportional to its surface gravity. This paper combines Hawking's quantum formalism with the black-hole perturbation methods of Teukolsky and Press to calculate the emission rate for the known massless particles. Numerical results indicate that a hole of mass $M\ensuremath{\gg}{10}^{17}$ g should emit a total power output of $2\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}4}\ensuremath{\hbar}{c}^{6}{G}^{\ensuremath{-}2}{M}^{\ensuremath{-}2}$, of which 81% is in neutrinos, 17% is in photons, and 2% is in gravitons. These rates plus an estimate for the emission rates of massive particles from smaller holes allow one to infer that a primordial black hole will have decayed away within the present age of the universe if and only if its initial mass was $M<(5\ifmmode\pm\else\textpm\fi{}1)\ifmmode\times\else\texttimes\fi{}{10}^{14}$ g.

Overview

Integrity signals

Registry

Crossref · 10.1103/physrevd.13.198

Cites

5 of 5 references verified0 citation errors · 0 not checkable

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

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Claims the paper makes

This paper’s full text isn’t openly available, 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?

  • The total decay rate for a subset of the standard model was evaluated by Page.

    “The total decay rate for a subset of the standard model was evaluated by Page, [55].”

    From Vacuum metastability with black holes (2015) · cites this paper as [55]

  • Setting Γ_H = Ṁ/M gives Γ_H ≈ 3.6×10^-4 (G^2 M+^3)^-1.

    “If we set Γ H = Ṁ /M , then”

    From Vacuum metastability with black holes (2015) · cites this paper as [55]

  • The black hole emits Hawking radiation at a rate depending on fundamental particle masses and spins.

    “The black hole emits Hawking radiation at a rate depending on fundamental particle masses and spins.”

    From Vacuum metastability with black holes (2015) · cites this paper as [55]

  • The Hawking evaporation rate for a subset of the standard model evaluated by Page [43] is Γ_H ≈ 3.6 × 10^-4 (G^2 M+^3)^-1.

    “We may use the Hawking evaporation rate for a subset of the standard model evaluated by Page [43].Setting Γ H = Ṁ /M , we have Γ H ≈ 3.6 × 10 -4 (G 2 M 3 + ) -1 .”

    From The fate of the Higgs vacuum (2016) · cites this paper as [43]

  • If we set Γ_H = Ṁ/M, then Γ_H ≈ 3.6 × 10^{-4} (G^2 M_C^3)^{-1}.

    “If we set Γ H = Ṁ /M , then Γ H ≈ 3.6 × 10 -4 (G 2 M 3 C ) -1 (6.3)”

    From Black holes as bubble nucleation sites (2014) · cites this paper as [31]

Citations

Cites

Flagged first, then by citations

Research works printed but not linked: 14

  1. S. W. Hawking, 1971, Mon. Not. R. Astron. Soc., 152, 75, 10.1093/mnras/152.1.75 · DOI · Paper page
  2. B. J. Carr, 1975, Astrophys. J., 201, 1, 10.1086/153853 · DOI · Paper page
  3. C. W. Allen, 1973, Astrophysical Quantities
  4. W. T. Zaumen, 1974, Nature, 247, 530, 10.1038/247530a0 · DOI
  5. G. W. Gibbons, 1975, Commun. Math. Phys., 44, 245, 10.1007/BF01609829 · DOI · Paper page
  6. S. A. Teukolsky, 1974, Astrophys. J., 193, 443, 10.1086/153180 · DOI
  7. B. Carter, 1973, Black Holes
  8. J. D. Bekenstein, 1973, Phys. Rev. D, 7, 2333, 10.1103/PhysRevD.7.2333 · DOI · Paper page
  9. S. A. Teukolsky, 1973, Astrophys. J., 185, 635, 10.1086/152444 · DOI
  10. A. A. Starobinsky, 1973, Zh. Eksp. Teor. Fiz., 65, 3
  11. J. M. Blatt, 1952, Theoretical Nuclear Physics
  12. J. R. Gott, 1974, Astrophys. J., 194, 543, 10.1086/153273 · DOI
  13. S. A. Teukolsky, 1972, Phys. Rev. Lett., 29, 1114, 10.1103/PhysRevLett.29.1114 · DOI
  14. P. M. Morse, 1953, Methods of Theoretical Physics

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Metadata

Authors
Page, D. N.
Venue
Physical Review D
Publisher
American Physical Society (APS)
Published
1976-01-15
Volume
13
Issue
2
Pages
198-206
ISSN
0556-2821
DOI
10.1103/physrevd.13.198
Cited by
1,133
References
5
Language
en
Licence
link.aps.org/licenses/aps-default-license (vor)

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