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

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# Timelike, spacelike, or null?

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