High-frequency perturbations and gravitational collapse in gravity theory coupled with a Higgs field

Physics

Scientific paper

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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.

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