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arXiv · 2012.02432

Solutions to the Einstein-Maxwell-Current System with Sasakian maifolds

Hideki Ishihara·Satsuki Matsuno
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Abstract

We construct stationary solutions to the Einstein-Maxwell-current system by using the Sasakian manifold for the three-dimensional space. Both the magnetic field and the electric current in the solution are specified by the contact form of the Sasakian manifold. The solutions contain an arbitrary function that describes inhomogeneity of the number density of the charged particles, and the function determines the curvature of the space.

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Hideki Ishihara, Satsuki Matsuno. 2020-12-04. Solutions to the Einstein-Maxwell-Current System with Sasakian maifolds. https://arxiv.org/abs/2012.02432

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