Take the 2-minute tour ×
Physics Stack Exchange is a question and answer site for active researchers, academics and students of physics. It's 100% free, no registration required.

I am trying to solve this problem:

Find the Killing vector correspond to the symmetry of the scale invariant for the AdS(n+1)

$$ (t,{\bf x}) \rightarrow (at, a{\bf x}) $$

when the metric of the AdS is given in Poincaré coordinate:

$$ ds^2=\frac{1}{|{\bf x}|^2}(-dt^2+d{\bf x}\cdot d{\bf x}) $$

I know that I have to solve the Killing equation but how can I find the connection coefficients?

share|improve this question

closed as off-topic by Danu, Kyle Kanos, John Rennie, ACuriousMind, Jim the Enchanter May 19 at 18:09

This question appears to be off-topic. The users who voted to close gave this specific reason:

  • "Homework-like questions should ask about a specific physics concept and show some effort to work through the problem. We want our questions to be useful to the broader community, and to future users. See our meta site for more guidance on how to edit your question to make it better" – Danu, John Rennie, Jim the Enchanter
If this question can be reworded to fit the rules in the help center, please edit the question.

By connection coefficients, I assume you mean $\Gamma^\rho_{\mu\nu}$? Do you not know its definition in terms of the metric? –  Danu May 19 at 11:46