Asymptotics of gravitational collapse of scalar waves.

Details Asymptotics of gravitational collapse of scalar waves. Asymptotics of gravitational collapse of scalar waves.

Apr 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992jmp....33.1445g&link_type=abstract

Journal of Mathematical Physics, Vol. 33, No. 4, p. 1445 - 1457

Mathematics

Mathematical Physics

29

Scientific paper

Through a combination of analytic and numerical techniques, the formation of a black hole by a self-gravitating, spherically symmetric, massless scalar field is investigated. The evolution algorithm incorporates a Penrose compactification so that the Bondi mass, the news function, and other radiation zone limits can be obtained numerically. The late time behavior recently established by Christodoulou is confirmed and new asymptotic relations for late time and for large amplitude limits are derived. It is found that the scalar monopole moment decays exponentially during black hole formation in contrast to the perturbation theory result for a power law decay rate in an Oppenheimer-Snyder background. It is demonstrated that the Newman-Penrose constant for the scalar field is globally well defined and has significant effects.

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