Class of Einstein-Maxwell Phantom Fields: Rotating and Magnetised Wormholes

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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15 pages, no figures

Scientific paper

Using a new ansatz for solving the Einstein equations with a scalar field with the sign of the kinetic term inverted, I find a series of formulae to derive axial symmetric stationary exact solutions of the Phantom scalar field in general relativity. We focus on the solutions which represent wormholes. The procedure presented in this work allows to derive new exact solutions up to very simple integrations. Among other results, I find exact rotating solutions containing magnetic monopoles, dipoles, etc., coupled to Phantom scalar and to gravitational multipole fields.

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