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I now have difficulties in using formula for gradient of tensor. The following is

tensor for field strength

Fsubscripts_alpha_beta =

[ 0 -Ex -Ey -Ez

Ex 0 Bz -By

Ey -Bz 0 Bx

Ez By -Bx 0 ]

My question is, how do we derive the Maxwell equations div(B) = 0 and curl(E)+dB/dt using gradient of tensor of the above field tensor?

I myself not quite sure how to use formula for tensor gradient, especially due to the additional term apart from the vectors and 1-forms that the tensor has

e.g.

del_zeta (S) = (dS/dx_superscript_delta) zeta_superscript_delta

What does zeta term here do?

I will be indebted if someone here could give a real example of how to find the gradient of a tensor with the tensor given in the example.

Thank you for any help

regards,

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# Tensor gradient and maxwell's equation

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