Stationary, charged Zipoy-Voorhees metric from colliding wave spacetime

Abstract

Through the Ernst formalism we provide expression for a class of colliding Einstein-Maxwell (EM) metrics with cross polarization. Local isometry is imposed as a means to transform interaction region of the spacetime into stationary, charged Zipoy-Voorhees (ZV) metric in Schwarzschild coordinates. The ZV-metric is known to describe planetary/stellar objects with arbitrary topology. "The world may be seen in a grain of sand" - William Blake.

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Cited by in corpus (3)

• Geodesics and gravitational waves in chaotic extreme-mass-ratio inspirals: the curious case of Zipoy-Voorhees black-hole mimickers
• Generating spacetimes from colliding sources
• Charged particle geodesics and closed timelike curves in an electromagnetic universe