# Timelike, spacelike, or null?

1. Apr 29, 2010

### wglmb

If I have a line element $$ds^{2} = ...$$ and a curve defined by $$x^{1} = f( \lambda )$$, $$x^{2} = g( \lambda )$$ etc, and I wand to know if the curve is timelike, spacelike, or null, do I do so by checking the sign of $$g_{\mu \nu} \frac{dx^{\mu}}{d\lambda} \frac{dx^{\nu}}{d\lambda}$$ ?

2. Apr 29, 2010

### George Jones

Staff Emeritus
Yes.

3. Apr 29, 2010

### wglmb

awesome, thanks!

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