Journal of High Energy Physics

, Volume 2011, Issue 2, pp 1–30

Hawking-like radiation from evolving black holes and compact horizonless objects

  • Carlos Barceló
  • Stefano Liberati
  • Sebastiano Sonego
  • Matt Visser

DOI: 10.1007/JHEP02(2011)003

Cite this article as:
Barceló, C., Liberati, S., Sonego, S. et al. J. High Energ. Phys. (2011) 2011: 1. doi:10.1007/JHEP02(2011)003


Usually, Hawking radiation is derived assuming (i) that a future eternal event horizon forms, and (ii) that the subsequent exterior geometry is static. However, one may be interested in either considering quasi-black holes (objects in an ever-lasting state of approach to horizon formation, but never quite forming one), where (i) fails, or, following the evolution of a black hole during evaporation, where (ii) fails. We shall verify that as long as one has an approximately exponential relation between the affine parameters on the null generators of past and future null infinity, then subject to a suitable adiabatic condition being satisfied, a Planck-distributed flux of Hawking-like radiation will occur. This happens both for the case of an evaporating black hole, as well as for the more dramatic case of a collapsing object for which no horizon has yet formed (or even will ever form). In this article we shall cast the previous statement in a more precise and quantitative form, and subsequently provide several explicit calculations to show how the time-dependent Bogoliubov coefficients can be calculated.


Black HolesModels of Quantum Gravity2D GravitySpacetime Singularities

Copyright information

© SISSA, Trieste, Italy 2011

Authors and Affiliations

  • Carlos Barceló
    • 1
  • Stefano Liberati
    • 2
  • Sebastiano Sonego
    • 3
  • Matt Visser
    • 4
  1. 1.Instituto de Astrofísica de Andalucía, IAA-CSICGranadaSpain
  2. 2.SISSA/International School for Advanced Studies, and INFNSezione di TriesteTriesteItaly
  3. 3.Dipartimento di FisicaUniversità di UdineUdineItaly
  4. 4.School of Mathematics, Statistics and Operations ResearchVictoria University of WellingtonWellingtonNew Zealand