hello,(adsbygoogle = window.adsbygoogle || []).push({});

please see the attached snapshot (taken from 'Problem book in relativity and gravitation'). In the last equation I think there would be no semicolon.

Here is why I believe (S is scalar by the way):

S_{;α[βγ]}= 1/2 * ( S_{;αβγ}- S_{;αγβ})

Now from the equation which precedes it, we have :

S_{;αβγ}= S_{,αβγ}- S_{σ}τ^{σ}_{αβ,γ}

and :

S_{;αγβ}= S_{,αγβ}- S_{σ}τ^{σ}_{αγ,β}

this means :

S_{;α[βγ]}= 1/2 * ( S_{σ}R^{σ}_{αβγ}) due to the first equation of the solution 9.8 on the top of the page.

We see that there is no semicolon. Where did I go wrong if at all ?

Thank you,

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Covariant derivative - is this a typo ?

**Physics Forums | Science Articles, Homework Help, Discussion**