If the two constitutionally identical asymmetric carbons
are of the same configuration, the compound is chiral, one
enantiomer being RR, the other SS. These
compounds and the meso compound are diastereomers.
The Fischer projection depicts
the unrealistic eclipsed syn-periplanar conformation. It allows
us to simply read the symmetry of this conformation, meso-tartaric
acid Cs, (S,S)-tartaric acid and
(R,R)-tartaric acid C2.

meso-tartaric acid
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(S, S)-tartaric acid
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(R, R)-tartaric acid
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As an exercise, determine the symmetries of the other conformations
of meso- and (R,R)-tartaric acids shown above.
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