Shear-free homogeneous cosmological model with heat flux
We present the condition of vanishing shear in a spatially homogeneous spacetime in terms of the Ricci rotation co-efficients corresponding to an orthonormal tetrad (να.Aηα) (whereνα is the unit vector along the time axis andAηα are the three independent reciprocal group vectors). Assuming that the velocity vector can be expanded in the direction ofνα and any one of theAηα’s it is shown that shear-free motion is possible only in case of some special Bianchi types, and these cases are studied assuming the velocity vector to be geodetic and that there may be a nonvanishing heat flux term.
Volume 41, 2020
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