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

Author

Listed:
  • Mohammed Kumah
  • Francis T. Oduro

Abstract

Characterizing black holes by means of classical event horizon is a global concept because it depends on future null infinity. This means, to find black hole region and event horizon requires the notion of the entire spacetime which is a teleological concept. With this as a motivation, we use local approach as a complementary means of characterizing black holes. In this paper we apply Gauss divergence and covariant divergence theorems to compute the fluxes and the divergences of the appropriate null vectors in Vaidya spacetime and thus explicitly determine the existence of trapped and marginally trapped surfaces in its black hole region.

Suggested Citation

  • 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.
    • Handle: RePEc:ibn:jmrjnl:v:10:y:2018:i:1:p:59
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    Cited by:

    1. 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.

    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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