2007/03/06 by M. I. Wanas, M. I. WANAS · 23 citations
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Charged particle #Covariant transformation #Electromagnetic field #Gravitation #Gravitational field #Massless particle #Metric (unit) #Quantum and Classical Electrodynamics #Relativity and Gravitational Theory #Sign (mathematics) #Space (punctuation) #Symmetry (geometry) #gr-qc
paper · pdf · doi:10.1142/s0219887807002144
published in International Journal of Geometric Methods in Modern Physics 04(03), 373-388 (World Scientific) · 15 pages, LaTeX file
arxiv created 2007/03/06 · openalex publication_date 2007/05/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
A new solution to the field equations of the generalized field theory, constructed by Mikhail and Wanas in 1977, has been obtained. The geometric structure used, in the present application, is an absolute parallelism (AP)-space with spherical symmetry (type FIGI). The solution obtained represents a generalized field outside a charged massive central body. Two schemes have been used to get the physical meaning of the solution: The first is related to the metric of the Riemannian space associated with the AP-structure. The second is connected to a covariant scheme known as Type Analysis. It is shown that the dependence on both schemes for interpreting the results obtained, is better than the dependence on the metric of the Riemannian space associated with the AP-structure. In general, if we consider the solution obtained as representing a geometric model for an elementary charged particle, then the results of the present work can be summarized in the following points. (i) It is shown that the mass of the particle is made up of two contributions: the first is the gravitational contribution, and the second is the contribution due to the existence of charge. (ii) The model allows for the existence of a charged particle whose mass is completely electromagnetic in origin. (iii) The model prevents the existence of a charged massless particle. (iv) The electromagnetic contribution, to the mass, is independent of the sign of the electric charge. (v) It is shown that the mass of the electron (or a positron) is purely made of its charge.