How would you write the following using index-notation?(adsbygoogle = window.adsbygoogle || []).push({});

[tex]s \cdot F \cdot u[/tex]

Given that [tex] s = (s^0, \vec{s}) [/tex] and [tex] u = \gamma(1, \vec{v}) [/tex] are 4-vectors;

[tex] F [/tex] is a skew tensor of components [tex] F^{ik} [/tex] indicated as [tex] F = - ( \vec{F}^t, \vec{F}^s ) [/tex], [tex] \vec{F}^t= \left\{F^{0 \alpha}\right\} [/tex], [tex] \vec{F}^s = \left\{F^{\beta \gamma}\right\} [/tex], with [tex] \alpha, \beta, \gamma = 1,2,3 [/tex];

the dot between symbols indicates a contraction of neighboring indices with the metric tensor (+ ---).

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# 4-vectors and tensor algebra

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