Towards the Theory of Mini Black Holes with Subplanckian Mass

  • Ya B. Zeldovich


Metrics of the space, surrounding a black hole (B.H.) beyond the Schwarzshield pseudosingularity, are known in the classical (non quantum) approximation. It i s shown in the remarkable work of Hawking1, how in these metrics particles are created, going in infinity and hence decreasing the mass of B.H. The method evolved in reference 1 and subsequent works (see review reference 2) is adequate only if the energy of the individual created particles may be considered small as compared to the energy of B.H. It leads to the condition m > M, where m is the mass of B.H. and M is the Planckian mass M = √Kc/G. We shall take K = c = 1 in the following, leaving G for clearness, so that M = G-1/2The question of how the last stage of evaporation of B.H. from m ~ M to m = M proceeds (if it proceeds at all), being accompanied by the complete disappearance of a B.H., is left at present without answer. Other unsolved questions are: can a B.H. with m << M exist, even temporarily; with a certain probability of disappearance? Can such a B.H. be formed by any process, especially in the early Universe? The modern theory cannot give definite answer on these questions, since the full quantum theory of strong, nonlinear gravitational fieldsn is needed for that.


Black Hole Vacuum Polarization Magnetic Monopole Newtonian Potential Gravitational Radius 
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  1. 1.
    S.W. Hawking. Nature248, 30 (1974).ADSCrossRefGoogle Scholar
  2. 2.
    V.P. Frolov. Black holes. “Mir”. Moscow (1978).Google Scholar
  3. 3.
    F. Wilczek. Comments Nucl. Part. Phys.10, 175 (1981).Google Scholar

Copyright information

© Plenum Press, New York 1984

Authors and Affiliations

  • Ya B. Zeldovich
    • 1
  1. 1.Keldysh Institute of Applied MathematicsAcademy of Science USSRMoscowUSSR

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