FIZIKA B 18 (2009) 2, 61-80

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PLANE SYMMETRIC VISCOUS FLUID UNIVERSE WITH DECAYING VACUUM ENERGY DENSITY L

ANIRUDH PRADHAN
Department of Mathematics, Hindu Post-graduate College, Zamania-232 331, Ghazipur, India
E-mail addresses: pradhan@iucaa.ernet.in , acpradhan@yahoo.com

Received 10 March 2009;  Accepted 6 May 2009
Online 13 July 2009

Plane symmetric viscous fluid cosmological models of the universe with a variable cosmological term are investigated. The viscosity coefficient of bulk viscous fluid is assumed to be a power function of mass density, whereas the coefficient of shear viscosity is taken as a constant. To get the deterministic solutions of the Einstein's 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. The cosmological constant L is found to be a decreasing function of time and positive which is corroborated by the results from recent supernovae Ia observations. The physical and geometric aspects of the models are discussed.

PACS numbers: 98.80.Es, 98.80.-k
UDC 52-423, 524.83

Keywords: plane symmetric universe, viscous fluid models, decaying L

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