Stationary, charged Zipoy–Voorhees metric from colliding wave spacetime

General Relativity and Gravitation(2023)

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摘要
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. This is known as the Chandrasekhar-Xanthopoulos (CX) duality which maps the plane of double-null coordinates (with two spacelike cyclic coordinates) to the static/stationary spacetime. The ZV-metric is known to describe planetary/stellar objects with arbitrary distortion parameter. Asymptotic behaviour of the metric for practical use is provided. "The world may be seen in a grain of sand" - William Blake.
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关键词
zipoy–voorhees,wave,zipoy–voorhees
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