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

Mohammed Kumah and Francis Oduro

Journal of Mathematics Research, 2018, vol. 10, issue 4, 24-31

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.

Keywords: Trapped surfaces; black holes; event horizons (search for similar items in EconPapers)
Date: 2018
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