Recent content by ClaraOxford

I've been going back over my general relativity problem sheets and have realized I am not raising and lowering vectors/tensors properly. I've written out my calculations in detail below. I've tried to follow exact logical steps, but I must be misunderstanding, because my answers seem wrong (I...

This is a problem from my theoretical physics course. We were given a solution sheet, but it doesn't go into a lot of detail, so I was hoping for some clarification on how some of the answers are derived. Homework Statement For the Lagrangian L=1/2(∂μ∅T∂μ∅-m2∅T∅) derive the Noether...

I mean ∂_{\mu}T^{\mu\nu}=0 T^{\mu\nu}=F^{\mu\alpha}F^{\nu}_{\alpha}-1/4F^{\alpha\beta}F_{\alpha\beta}\eta^{\mu\nu} I don't know whether to use Lagrangian variables or the Einstein tensor or if there's a simpler way to just expand the tensor and work it out?

I mean ∂_{\mu}T^{\mu\nu}=0 T^{\mu\nu}=F^{\mu\alpha}F^{\nu}_{\alpha}-1/4F^{\alpha\beta}F_{\alpha\beta}\eta^{\mu\nu}

How do you prove that Maxwell's energy-momentum equation is divergence-free? I don't know whether or not I have to use Lagrangians or Eistein's tensor, or if there's a simlpler way of expanding out the tensor.. ∂_{\mu}T^{\mu\nu}=0...

How do you prove that the energy-momentum tensor is divergence-free? ∂μTμν=0