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Monopole and dipole layers in curved spacetimes: Formalism and examples

2011/05/24 by Norman Gürlebeck, Jiřı́ Bičák, Jiří Bičák +1
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Classification of discontinuities #Dipole #Discontinuity (linguistics) #Formalism (music) #General relativity #Gravitation #Magnetic dipole #Magnetic monopole #Mathematical analysis #Mathematics #Physics #Pulsars and Gravitational Waves Research #Quantum electrodynamics #Quantum mechanics #Relativity and Gravitational Theory #Schwarzschild metric #Schwarzschild radius #gr-qc

paper · pdf · doi:10.1103/physrevd.83.124023

published as Phys.Rev.D83:124023,2011 · to be published in Phys. Rev. D, 10 pages, 4 figures; v2: spelling of authors name corrected

arxiv created 2011/05/24 · openalex publication_date 2011/06/10 · arxiv updated 2011/06/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The discontinuities of electromagnetic test fields generated by general layers of electric and magnetic monopoles and dipoles are investigated in general curved spacetimes. The equivalence of electric currents and magnetic dipoles is discussed. The results are used to describe exact ``Schwarzschild disk'' solutions endowed with such sources. The resulting distributions of charge and dipole densities on the disks are corroborated using the membrane paradigm.

Citations