Cylindrically symmetric viscous fluid universe in Lyra geometry

Details Cylindrically symmetric viscous fluid universe in Lyra geometry Cylindrically symmetric viscous fluid universe in Lyra geometry

Feb 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009jmp....50b2501p&link_type=abstract

Journal of Mathematical Physics, Volume 50, Issue 2, pp. 022501-022501-13 (2009).

Mathematics

Mathematical Physics

11

Observational Cosmology, Relativity And Gravitation, Hydrodynamics, Exact Solutions

Scientific paper

A new class of cylindrically symmetric homogeneous cosmological models for viscous fluid distribution is obtained in the context of Lyra's geometry. We have obtained solutions by considering the time dependent displacement field. To get the deterministic solutions of Einstein's modified field equations, the free gravitational field is assumed to be of type D which is of the next order in the hierarchy of Petrov classification. It has been found that the displacement vector β(t) behaves like cosmological term Λ in the normal gauge treatment and the solutions are consistent with the observations. The displacement vector β(t) affects entropy. Some physical and geometrical properties of the models are discussed.

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