Abstract
New analytic solutions for rotational perturbations of the Robertson-Walker metric are found in order to incorporate the possibility of a rotating viscous universe. The field equations impose restrictions on the matter rotationω(r, t), and some of the solutions for Ω(r, t) which is related to the local dragging of inertial frames are studied. In all the cases the rotational velocity is found to decay with increase of time. Geodesics of the metric are studied to reveal the intrinsic nature of rotation and to elucidate the role of Ω.
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References
Bayin S S and Cooperstock F I 1980Phys. Rev. D22 2317
Belinskii V A and Khalatnikov I M 1975Sov. Phys. JETP 42 205
Ellis G F R 1971General relativity and cosmology (ed) R K Sachs (New York: Academic Press)
Kerr R P 1963Phys. Rev. Lett. 11 237
Silk J and Wright J P 1969Mon. Not. R. Astr. Soc. 143 55
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Singh, K.M., Bhamra, K.S. Slow rotation of compressible viscous fluid in cosmological universe. Pramana - J. Phys. 26, 117–127 (1986). https://doi.org/10.1007/BF02847631
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DOI: https://doi.org/10.1007/BF02847631