Astrophysics and Space Science

, Volume 225, Issue 2, pp 221–226 | Cite as

Bounds for mass and rotation of black holes in the observable universe

  • A. De Vries
  • R. Böhme
  • Th. Schmidt-Kaler


The bounds for the energy change rate of a Maxwell field in the outer space of a rotating black hole, calculated by de Vries (1994) and de Vries (1995), enable us to deduce limits for the rotation and the mass of black holes. For this purpose we assume that a certain part of the anisotropies of the cosmic background radiation is due to absorption or superradiance of black holes (Teukolsky, 1973, Starobinskii and Churilov, 1973). The knowledge of these anisotropies yields bounds for rotation and mass of the black holes in the observable universe.

Key words

Black holes General relativity Cosmology Mathematical physics 


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  1. Bland-Hawthorn, J., & Tully, R.B.: 1991,Astrophys. J. 371, L19-L22.Google Scholar
  2. Chandrasekhar, S.: 1983,.The Mathematical Theory of Black Holes. Oxford University Press, Oxford.Google Scholar
  3. de Vries, A.: 1994,Über die Beschränktheit der Energienorm bei der Evolution der Dirac-, Weyl-und Maxwellfelder in gekrümmten Raumzeiten. Universitätsverlag Brockmeyer, Bochum.Google Scholar
  4. de Vries, A.: 1995,Math. Nachr. (to appear).Google Scholar
  5. Hawking, S.W.: 1976,Phys. Rev. D,13, 2, 191-197.Google Scholar
  6. Landsberg, P.T.: 1992, In: V. De Sabbata and Zh. Zhang (eds.),Black hole physics. Kluwer Academic Publishers, Dordrecht.Google Scholar
  7. Sexl, R.U., & Urbantke, H.K.: 1987,Gravitation und Kosmologie. BI-Wissenschaftsverlag Mannheim.Google Scholar
  8. Smoot, G.F.,et al.: 1992,Astrophys. J.,396, L1-L5.Google Scholar
  9. Starobinskii, A.A., and Churilov, S.M.: 1973,Zh. Eksp. Teor. Fiz.,65, 3–11 (English transl.:Soviet Phys. — JETP,38, 1-11, 1974).Google Scholar
  10. Teukolsky, S.A.: 1973,Astrophys. J.,185, 635–647.Google Scholar
  11. Weinberg, S.: 1972,Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity. John Wiley & Sons, Inc., New York.Google Scholar

Copyright information

© Kluwer Academic Publishers 1995

Authors and Affiliations

  • A. De Vries
    • 1
  • R. Böhme
    • 1
  • Th. Schmidt-Kaler
    • 2
  1. 1.Institut für MathematikRuhr-UniversitätBochum
  2. 2.Astronomisches InstitutRuhr-UniversitätBochum

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