I am trying to do question 3 on this sheet;
http://www.maths.ox.ac.uk/system/files/coursematerial/2012/2393/16/Sheet4_13.pdfI understand the basics, but I really don't know what they want in terms of proving it is a tensor. I have looked through every book in the library, and still have no idea. I was wondering if anyone could point me in the right direction?
- There is a standard tensor ICS transformation rule using derivatives - do they want me to show that this is equivalent to a Lorentz transformation? If so, what other way is there to Lorentz transform a tensor?
- Do they want me to show that this transformation is consistent when transforming across several ICSs?
- Do they want me to compare it to the normal Electromagnetic field tensor, which we have been told is a tensor?
There are two methods suggested on the sheet, but I want to understand the first one ideally. Any help appreciated, I'm really confused.
Also, if anyone knows of a textbook with lost of
non-numerical exercises on special relativity it would be much appreciated. Our course textbook (Woodhouse, Springer) follows our lecture notes word for word, and thus is not helpful. The rest are all Physicsy.