A class of exact interior solutions of the Einstein-Maxwell equations

Physics

Scientific paper

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Einstein Equations, Field Theory (Physics), Maxwell Equation, Rotating Matter, Angular Velocity, Electromagnetic Fields, Harmonic Functions, Laplace Equation

Scientific paper

A class of exact interior steady-state solutions to the Einstein-Maxwell
equations is found in terms of an arbitrary solution of the flat-space
Laplace equation. These solutions represent pressure-free charged matter
rotating with constant angular velocity about an axis of symmetry. Some
properties of the solution are discussed.

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