The Robertson-Walker metric and the symmetries belong to the family of contracted Ricci collineations.

Mathematics – Logic

Scientific paper

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Scientific paper

It is shown that the general form of the Robertson-Walker cosmological metric admits symmetry properties that are members of the symmetry family of contracted Ricci collineations. A particular form for the conservation law generator given by ▽ j [(-g)1/2(T {/i j }-1/2δ{/i jT })η i ] = 0 following in consequence of these symmetries is obtained and interpreted.

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