A mathematical theory of gravitational collapse

Details A mathematical theory of gravitational collapse A mathematical theory of gravitational collapse

Dec 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987cmaph.109..613c&link_type=abstract

Communications in Mathematical Physics, Volume 109, Issue 4, pp.613-647

Mathematics

Mathematical Physics

92

Scientific paper

We study the asymptotic behaviour, as the retarded time u 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 mass M 1 is different from zero, as u → ∞, a black hole forms of mass M 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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