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Does a static uniform E field in space appear to be a mix of E and B fields to an observer on Earth (ignoring the Earth's motion)?
My GR is not so great, but would the rigorous way to calculate the new fields be to parallel transport the Maxwell 2-form ##F_{\mu\nu}## from free space, where it would only have non-zero values in the first row and top column, to the Earth frame by path integrating the covariant derivative obtained from the Schawrzschild metric? Am I making this more difficult than necessary? And is this a reasonable exercise for me to attempt? Thanks in advance!
My GR is not so great, but would the rigorous way to calculate the new fields be to parallel transport the Maxwell 2-form ##F_{\mu\nu}## from free space, where it would only have non-zero values in the first row and top column, to the Earth frame by path integrating the covariant derivative obtained from the Schawrzschild metric? Am I making this more difficult than necessary? And is this a reasonable exercise for me to attempt? Thanks in advance!