On The Trapped Surface Characterization Of Black Hole Regions In The Spherically And Axially Symmetric Spacetimes
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Date
2018-04
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KNUST
Abstract
The characterization of black holes by means of classical event horizon is a global concept since one need to have the knowledge of the whole spacetime in order to locate a black hole region and the event horizon. To surmount these issues, we investigate alternative approach based on the concept of trapped surfaces in a variety of spacetimes. Specifically, to compute the expansions of the appropriate null vectors in both spherically and axiallysymmetric spacetimes and thus explicitly determine the existence of trapped and marginally trapped surfaces in their respective black hole regions
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THESIS SUBMITTED TO THE DEPARTMENT OF MATHEMATICS,KWAME NKRUMAH UNIVERSITY OF SCIENCE AND TECHNOLOGY INPARTIAL FULFILLMENT OF THE REQUIREMENT FOR THE DEGREE OFDOCTOR OF PHILOSOPHY(APPLIED Symmetric Spacetimes