Physics
Scientific paper
Aug 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986apj...307...20s&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 307, Aug. 1, 1986, p. 20-29.
Physics
1
Cosmology, Field Theory (Physics), Gravitation Theory, Gravitational Collapse, Einstein Equations, Finite Element Method, Partial Differential Equations, Wentzel-Kramer-Brillouin Method
Scientific paper
An approximate wave solution of order two of Einstein's theory of gravitation coupled with a Higgs field is presented using the multiple-scale method. The characteristic (eikonal) equation as well as propagation and back-reaction equations are investigated in the Lorentz-gauge on a spherically symmetric background. From the constraint equations it is found that the initial high-frequency perturbation has a significant influence on the formation of trapped surfaces. A numerical solution of the equations is presented using a finite-element collocation method.
Baeuerle G. A. G.
Slagter Reinoud J.
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