Shear-free homogeneous cosmological model with heat flux |
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Authors: | Gangabrata Mukherjee |
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Institution: | (1) Physics Department, Presidency College, 700073 Calcutta |
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Abstract: | 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 (ν
α.
A
η
α) (whereν
α is the unit vector along the time axis and
A
η
α are the three independent reciprocal group vectors). Assuming that the velocity vector can be expanded in the direction ofν
α and any one of the
A
η
α’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. |
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Keywords: | cosmology shear-free velocity field Bianchi-type |
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