Studies on marginally trapped tubes with positive Cosmological Constant Λ

Su, Haipeng (2019) Studies on marginally trapped tubes with positive Cosmological Constant Λ. Masters thesis, Memorial University of Newfoundland.

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Abstract

In general relativity, the cosmological constantΛ is a special term in the Einstein field equations. Many observational clues suggest that Λ is positive. In this thesis, we investigate the behavior of quasilocal horizons of black holes under the condition of positive Λ. We modify the Λ = 0 condition in [10] and recalculate the evolution of marginally trapped tube in Tolman-Bondi spacetime with non-vanishing Λ. Then, we apply the obtained results to some examples of the gravitational collapse of spherical dust clouds to investigate the influence of positive Λ on marginally trapped tube during the formation or growth of black hole. By analysis and comparison, we have found that there are significant effects of positive cosmological constant Λ on the behavior of marginally trapped tube evolutions in dust clouds collapse.

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