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In Communications in Mathematical Physics, Vol. 109, No. 4. (1987), pp. 613-647, doi:10.1007/bf01208960 Key: citeulike:11892472
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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 massM 1 is different from zero, asu → ∞, a black hole forms of massM 1 surrounded by vacuum. We find the rate of decay of the metric functions and the behaviour of the scalar field on the horizon.
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