Geometry of charged rotating discs of dust in Einstein-Maxwell theory

DOI10.1007/S10714-023-03086-8zbMath1528.83009arXiv2211.08821OpenAlexW4319442284MaRDI QIDQ6132946

Reinhard Meinel, David Rumler, A. Kleinwächter

Publication date: 15 July 2023

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.08821

zbMATH Keywords

Gaussian curvatureEhrenfest paradoxpost-Newtonian expansionelectrically counterpoised dustcharged rotating disc of dustMaclaurin disc

Mathematics Subject Classification ID

Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Special relativity (83A05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Motion of charged particles (78A35) Hydrodynamic and hydromagnetic problems in astronomy and astrophysics (85A30) Einstein-Maxwell equations (83C22) Mathematical modeling or simulation for problems pertaining to relativity and gravitational theory (83-10)

Cites Work

• On the black hole limit of electrically counterpoised dust configurations
• On the black hole limit of rotating discs of charged dust
• General Relativistic Gravitational Field of a Rigidly Rotating Disk of Dust: Solution in Terms of Ultraelliptic Functions
• Post-Newtonian expansion of a rigidly rotating disc of dust with a constant specific charge
• Physical Foundations of Cosmology
• Relativistic Figures of Equilibrium
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