Gravitational field of quasi-steady concentrated systems without rotation. II

Mathematics

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Cosmology, Field Theory (Physics), Gravitational Fields, Metric Space, Quasi-Steady States, Tetrad Theory, Canonical Forms, Coordinate Transformations, Einstein Equations, Magnetic Charge Density, Maxwell Equation, Operators (Mathematics), Schwarzschild Metric, Tensors

Scientific paper

In a previous work, the author derived a series of solutions to the Einstein-Maxwell equations with cosmological term, which describes the gravitational field of quasi-steady concentrated systems containing electric and magnetic charges. The metrics found belong to Petrov's type D and have zero rotation and shear. In the present work, the complete system of Newman-Penrose equations is integrated. A metric is derived which is a generalization of the Reissner-Nordstrom metric with magnetic charge to the case of theory with a cosmological term. The whole series of three metrics obtained generalizes the series of A-metrics of Ehlers and Kundt (1962).

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