On the existence of black holes in distorted Schwarzschild spacetime using marginally trapped surfaces

Pilkington, Terry (2010) On the existence of black holes in distorted Schwarzschild spacetime using marginally trapped surfaces. Masters thesis, Memorial University of Newfoundland.

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Abstract

The classical definition of a black hole in terms of an event horizon relies on global properties of the spacetime. Realistic black holes have matter distributions surrounding them, which negates the asymptotic flatness needed for an event horizon. Using the (quasi-)local concept of marginally trapped surfaces, we investigate the Schwarzschild spacetime distorted by an axisymmetric matter distribution. We determine that it is possible to locate a future outer trapping horizon for a given foliation within certain value ranges of multipole moments. Furthermore, we show that there are no marginally trapped surfaces for arbitrary values of the multipole moment magnitudes.

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