How to derive Maxwell stress-energy tensor

[aiaiaial]

The problem statement is:

Assuming that we are in vacuum, and that the only work done between mechanical systems and
electricity and magnetism comes from the Lorentz force, give a full, relativistic derivation of the
Maxwell stress-energy tensor.

 

[ZetaOfThree]

Can you show us what you know and what you've done so far?

 

[aiaiaial]

@ZetaOfThree

i know the answer should be this

But the question is "how to derive that", our class have finished Griffiths Electrodynamics chapter 12 (relativity in electrodynamics) and now doing chapter 8 (conservation law). I really don't know where to get started.

@ZetaOfThree

 

[ZetaOfThree]

Well, my hint to you would be read the chapter... there you'll find a lot of help.