Massive fields tend to form highly oscillating self-similarly expanding shells

Details Massive fields tend to form highly oscillating self-similarly expanding shells Massive fields tend to form highly oscillating self-similarly expanding shells

2003-08-19

arxiv.org/abs/hep-th/0308124v1

Phys.Rev.D68:044022,2003

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.68.044022

The time evolution of self-interacting spherically symmetric scalar fields in Minkowski spacetime is investigated based on the use of Green's theorem. It is shown that a massive Klein-Gordon field can be characterized by the formation of certain expanding shell structures where all the shells are built up by very high frequency oscillations. This oscillation is found to be modulated by the product of a simple time decaying factor of the form $t^{-{3}/{2}}$ and of an essentially self-similar expansion. Apart from this self-similar expansion the developed shell structure is preserved by the evolution. In particular, the energy transported by each shell appears to be time independent.

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