Theorems on Shear-free Perfect Fluids with their Newtonian Analogues
Date
1998
Authors
Senovilla, J.
Sopuerta, C.
Szekeres, P.
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Journal article
Citation
General Relativity and Gravitation, 1998; 30(3):389-411
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Abstract
In this paper we provide fully covariant proofs of some theorems on
shear-free perfect fluids. In particular, we explicitly show that any
shear-free perfect fluid with the acceleration proportional to the vorticity
vector (including the simpler case of vanishing acceleration) must be either
non-expanding or non-rotating. We also show that these results are not
necessarily true in the Newtonian case, and present an explicit comparison of
shear-free dust in Newtonian and relativistic theories in order to see where
and why the differences appear.