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General Relativity and Gravitation

, Volume 23, Issue 8, pp 877–895 | Cite as

Limitations on the Penrose process

  • F. Fayos Valles
  • E. Llanta Salleras
Research Articles

Abstract

It is well known that the Penrose process (PP) is a way for extracting energy from a black hole (BH). An analytical and partially numerical study of the PP is presented for a particular case: an incoming particle, at rest at infinity, decays into two photons inside the ergoregion of a Kerr BH, assuming that all particles follow equatorial orbits. It is shown that this process cannot exist if the angular momentum of the BH is lower than a critical value. Considering the features of the non equatorial Kerr geodesics, it is conjectured that even when the incoming particle is not at rest at infinity and the trajectories are not equatorial, the critical value still holds. This lower limit on the angular momentum implies that not all the rotational energy of the BH could be extracted with the Penrose processes that we have considered.

Keywords

Black Hole Angular Momentum Lower Limit Differential Geometry Rotational Energy 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Publishing Corporation 1991

Authors and Affiliations

  • F. Fayos Valles
    • 1
    • 3
  • E. Llanta Salleras
    • 2
    • 3
  1. 1.Departament de Física AplicadaUniversitat Politècnica de CatalunyaBarcelonaSpain
  2. 2.Departament de Física i Enginyeria NuclearUniversitat Politècnica de CatalunyaBarcelonaSpain
  3. 3.Grup de RelativitatSocietat Catalana de Física (IEC)Spain

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