Astronomy and Astrophysics – Astronomy
Scientific paper
May 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984sssmp..27..521w&link_type=abstract
Scientia Sinica, Series A - Mathematical, Physical, Astronomical and Technical Sciences (ISSN 0253-5831), vol. 27, May 1984, p.
Astronomy and Astrophysics
Astronomy
Black Holes (Astronomy), Field Theory (Physics), Gravitational Collapse, Relativity, Astronomical Models, Big Bang Cosmology, Einstein Equations, Scalars, Space-Time Functions, Taylor Series
Scientific paper
The spherical gravitational collapse of a Higgs scalar field is investigated in the framework of numerical relativity. Einstein's equation and the scalar-field equation are presented in a conformally flat metric form of a spherically symmetric space-time. These equations are finitely differenced using a Taylor expansion at the origin. The existence of a trapped surface provides the criterion for the occurrence of gravitational collapse. The Weyl tensor is plotted in order to determine the mass parameter of the ultimate black hole into which the fluctuation is presented to settle down. It is found that in order to form a black hole from a fluctuation with a size of the same order as the cosmological horizon, the scalar field of the fluctuation must evolve with a time delay of about one expansion time relative to its surroundings. The mass of the black hole is of the order of 10,000 g, the same as the volume energy of the false vacuum within the cosmological horizon.
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