A mathematical theory of gravitational collapse
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We study the asymptotic behaviour, as the retarded timeu tends to infinity, of the solutions of Einstein's equations in the spherically symmetric case with a massless scalar field as the material model. We prove that when the final Bondi massM1 is different from zero, asu → ∞, a black hole forms of massM1 surrounded by vacuum. We find the rate of decay of the metric functions and the behaviour of the scalar field on the horizon.
KeywordsNeural Network Black Hole Statistical Physic Complex System Asymptotic Behaviour
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