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Cited by 80Black Holes and Theoretical PhysicsStatistical Mechanics and EntropyNoncommutative and Quantum Gravity Theories

Canonical quantum statistics of an isolated Schwarzschild black hole with a spectrum

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Kastrup, H.A.·1997·Physics Letters B
DOI 10.1016/s0370-2693(97)01121-0
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Crossref · 10.1016/s0370-2693(97)01121-0

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37 of 37 references verified0 citation errors · 0 not checkable

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  • The symmetry reduction can be imposed by adding a constraint to electrodynamics besides the Gauß constraint, yielding an Abelian BF-theory.

    “In fact, the symmetry reduction considered here can be imposed by supplementing electrodynamics with a further constraint besides the Gauß constraint to arrive at an Abelian BF -theory [38].”

    From Symmetry reduction for quantized diffeomorphism-invariant theories of connections (2000) · cites this paper as [38]

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Cites

Flagged first, then by citations

Research works printed but not linked: 12

  1. [7][7] V.F. Mukhanov, in Complexity, Entropy and the Physics of Information , ed. by W.H. Zurek, Vol. VIII (Addison-Wesley Publ. Comp. Redwood City, Calif. etc. 1990)p. 47 -
  2. [19][19] H.A. Kastrup, Phys. Lett. B 385(1996)75, gr-qc/9605038 - · arXiv
  3. [24][24] T. Thiemann and H.A. Kastrup, Nucl. Phys. B 399(1993)211; H.A. Kastrup and T. Thiemann, Nucl. Phys. B 425(1994)665; H.A. Kastrup and T. Thiemann, in: Geometry of Constrained Dynamical Systems , ed. by J.M. Charap (Cambridge University Press, Cambridge 1995)p. 158 (this paper contains a brief comparison with Kuchaˇ r's article (ref.
  4. [28][28] G.W. Gibbons and M.J. Perry, Proc. R. Soc. Lond. A. 358(1978)467 -
  5. [34][34] E.T. Whittaker and G.N. Watson, A Course in Modern Analysis , 4th Edition (Cambridge University Press, Cambridge 1969)p. 71 -
  6. [36][36] D.V. Widder, The Heat Equation (Academic Press, New York etc. 1975); here ch. VII, 4 -
  7. [37][37] J.R. Cannon, The One-Dimensional Heat Equation (Encyclopedia of Mathematics and its Applications, vol. 23; Addison-Wesley Publ. Co. , Reading, Mass. etc. 1984); here ch. 4 -
  8. [39][39] I.S. Gradsteyn and I.M. Ryzhyk, A. Jeffrey (Ed.), Table of Integrals, Series and Products , 5. Edition (Academic Press, San Diego etc. 1994)p. 355, no. 3.325. As to the derivation see G.M. Fichtenholz, Differential- und Integralrechnung , vol. II (VEB Deutscher Verlag der Wissenschaften, now Verlag Harry Deutsch, Berlin 1990)p. 557, 576 and 661 -
  9. [41][41] H. Bremermann, Distributions, Complex Variables and Fourier Transforms , (Addison-Wesley Publ. Co. , Reading, Mass. etc. 1965)ch. 5 -
  10. [42][42] E.C. Titchmarsh, Introduction to the Theory of Fourier Integrals , 2. Ed. (Oxford University Press, London etc. 1948)ch. V -
  11. [43][43] H. Jeffreys and B. Jeffreys, Methods of Mathematical Physics , 3. Edition (Cambridge University Press, Cambridge 1966)ch. 17.04 -
  12. [45][45] K. Huang, Statistical Mechanics , 2. Edition (John Wiley & Sons, Inc. , New York etc. 1987)ch. 7 -

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Authors
Kastrup, H. A.
Affiliations
RWTH Aachen University (DE)
Corresponding author
Kastrup, H.A.
Venue
Physics Letters B
Publisher
Elsevier BV
Published
1997-11
Volume
413
Issue
3-4
Pages
267-273
ISSN
0370-2693 (ISSN-L)
DOI
10.1016/s0370-2693(97)01121-0
OpenAlex
W1568591555
Cited by
80
References
37
Citations by year
2026: 2 · 2025: 5 · 2022: 1 · 2021: 1 · 2017: 1 · 2014: 2 · 2012: 1
FWCI
3.34
Type
journal article
Language
en
Open access
Licence
www.elsevier.com/tdm/userlicense/1.0/ (tdm)
Locations
  • Physics Letters B (publishedVersion)
  • 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 › Statistical and Nonlinear Physics › Statistical Mechanics and Entropy
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
Keywords
Schwarzschild black hole, black hole thermodynamics, black hole spectrum, degeneracy, partition function, heat equation, Hawking temperature, black hole entropy, horizon area

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