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On the Trapped Surface Characterization of the Black Hole Region in Kerr Spacetime

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  • Mohammed Kumah
  • Francis Oduro

Abstract

Black holes are classically characterized by event horizon which is the boundary of the region from which particles or photons can escape to infinity in the future direction. Unfortunately this characterization is a global concept as the knowledge of the whole spacetime is needed in order to locate a black hole region and the event horizon. It is therefore important to recognize black holes locally; this has motivated the need to use local approach to characterize black holes. Specifically, we apply covariant divergence and Gauss¡¯s divergence theorems to compute the divergences and the fluxes of appropriate null vectors in the Kerr spacetime to actually determine the existence of trapped and marginally trapped surfaces in its black hole region.

Suggested Citation

  • Mohammed Kumah & Francis Oduro, 2018. "On the Trapped Surface Characterization of the Black Hole Region in Kerr Spacetime," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 10(4), pages 24-31, August.
    • Handle: RePEc:ibn:jmrjnl:v:10:y:2018:i:4:p:24
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    References listed on IDEAS

    as
    1. Mohammed Kumah & Francis T. Oduro, 2018. "On the Trapped Surface Characterization of Black Hole Region in Vaidya Spacetime," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 10(1), pages 59-66, February.
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      More about this item

      Keywords

      Trapped surfaces; black holes; event horizons;
      All these keywords.

      JEL classification:

      • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
      • Z0 - Other Special Topics - - General

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