Magnetic field of a long wire in a static background gravitational field: A classroom exercise in general relativity

Physics

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A general expression is found for the magnetic field generated by a long rectilinear current placed in a static background gravitational field. Then it is applied to the case of uniform, Schwarzschild, general Reissner-Nordstrom and ``charge-equal-to-mass'' Reissner-Nordstrom background metrics. All the calculations are very simple and can easily be done in the classroom.

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