The question was
Verify that (1.98) is indeed equivalent to (1.97), and that they are both equivalent to the last two equations in (1.93).My answer was
We had
The last two of these are Maxwell's electromagnetic field equations written as tensors.
We also had the electromagnetic field strength tensor, which was claimed to be
The first part of the question is easy: Expand ∂[μFνλ]
according to the recipe in (1.80).
The second part is more intimidating because, equation
(1.98) looks like a monster. It is really 64 equations for all possible values
of μ,ν,λ. However, when you work them out, due to the much redundancy and the
antisymmetry of Fμν we are left with only four!
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