2003/08/19 by Gyula Fodor, István Rácz · 9 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Field (mathematics) #Geometry #Materials science #Mathematical physics #Mathematics #Minkowski space #Oscillation (cell signaling) #Physics #Product (mathematics) #Pure mathematics #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Scalar (mathematics) #Scalar field #Shell (structure) #Spacetime #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.68.044022
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 68(4) (American Physical Society) · 10 pages, to appear in Phys. Rev. D
arxiv created 2003/08/19 · openalex publication_date 2003/08/28 · arxiv updated 2016/08/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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^\ensuremath-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.