Recent content by Jakob_L

[/PLAIN] So continuing the discussion after 30 months :-) Thank you for outlining the proof, drpepper0708. Since my question below involves the detailes of conventions, etc, let me summarize all the ingredients of the proof. If one starts from the identity \begin{equation}...

Alright, thanks for the answers. So, I've read up on Lie derivatives today. I see that my previous misconception was, that \partial_\theta is not a Killing vector for spherical symmetry, but e.g. R=\partial_\phi and S=\cos \phi \partial_\theta - \sin \phi \cot \theta \partial_\phi are. This...

The setup: I am reading the review: arXiv:hep-th/0004098 (page 9-10). In Einstein-Maxwell theory, the gravitational field equations read: \begin{equation} R_{\mu \nu} - \frac{1}{2} g_{\mu \nu} R = \kappa^2 \left( F_{\mu \rho} F^{\rho}_{\;\;\nu} - \frac{1}{4} g_{\mu \nu} F_{\rho \sigma}...