Nonlinear scalar field dynamics in the Schwarzschild geometry

Details Nonlinear scalar field dynamics in the Schwarzschild geometry Nonlinear scalar field dynamics in the Schwarzschild geometry

Aug 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978phrvd..18.1335b&link_type=abstract

Physical Review D (Particles and Fields), Volume 18, Issue 4, 15 August 1978, pp.1335-1338

Mathematics

Logic

3

Scientific paper

The dynamics of the nonlinear massless scalar field described by □Φ=4λΦ3 is numerically studied in the Schwarzschild geometry. It is found that such a scalar field is entirely radiated away during the gravitational collapse of a scalar charged star. Sawyer has argued that a quantum fluctuation can give rise to a quasistatic component of the scalar field which will trap subsequent scalar radiation and grow to a singular field. A phenomenological model used to study this situation leads to no such singular growth. All results, in fact, suggest that the dynamics of weak nonlinear fields in a black-hole background is qualitatively similar to that of linear fields.

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