Resonant scattering of light in a near-black-hole metric

  • Y. V. Stadnik
  • G. H. GosselEmail author
  • V. V. Flambaum
  • J. C. Berengut
Regular Article - Theoretical Physics


We show that low-energy photon scattering from a body with radius R slightly larger than its Schwarzschild radius r s resembles black-hole absorption. This absorption occurs via capture resulting in one of the many long-lived, densely packed resonances that populate the continuum. The lifetimes and density of these meta-stable states tend to infinity in the limit r s R. We determine the energy-averaged cross section for particle capture into these resonances and show that it is equal to the absorption cross section for a Schwarzschild black hole. Thus a non-singular static metric may trap photons for arbitrarily long times, making it appear completely ‘black’ before the actual formation of a black hole.


Absorption Cross Section Resonance Width Exterior Region Coulomb Phase Shift Small Energy Interval 
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We thank G.F. Gribakin for useful discussions. This work is supported by the Australian Research Council.


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Copyright information

© Springer-Verlag Berlin Heidelberg and Società Italiana di Fisica 2013

Authors and Affiliations

  • Y. V. Stadnik
    • 1
  • G. H. Gossel
    • 1
    Email author
  • V. V. Flambaum
    • 1
  • J. C. Berengut
    • 1
  1. 1.School of PhysicsUniversity of New South WalesSydneyAustralia

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