Solvable models of relativistic charged spherically symmetric fluids

DOI10.1088/0264-9381/18/1/302zbMath0981.83015OpenAlexW2153003292MaRDI QIDQ2704290

Rod Halburd

Publication date: 19 March 2001

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://figshare.com/articles/preprint/Solvable_models_of_relativistic_charged_spherically_symmetric_fluids/9378158

zbMATH Keywords

Painlevé equationcharged perfect fluidself-dual Yang-Mills equationDarboux-Halphen equation

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Equations of motion in general relativity and gravitational theory (83C10)

Related Items (6)

On the non-integrability of a generalized Darboux Halphen system ⋮ Shear-free relativistic fluids and the absence of movable branch points ⋮ First integrals of a generalized Darboux–Halphen system ⋮ Fast computation of complete elliptic integrals and Jacobian elliptic functions ⋮ EVOLVING SPHERES OF SHEAR-FREE ANISOTROPIC FLUID ⋮ Charged sphere of shear-free fluids with \(\frac{\partial\rho}{\partial r} \leq 0\)

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