Abstract
Mesonic perfect fluid solutions are found in general relativity with the aid of Einstein’s Rosen cylindrically symmetric space time. A static vacuum model and a non-static cosmological model corresponding to perfect fluid are investigated. The cosmological term Λ is found to be a decreasing function of time which is supported by the result found from recent type Ia Supernovae observations. The various physical and geometrical features of the model are discussed.
Highlights
Theory of general relativity (Einstein 1916) has served as basis for the study of cosmological models of universe
The cosmological term Λ has been introduced in 1917 by Einstein to modify his own equation of general relativity
Mohanty and Mishra [20] have studied the feasibility of Bianchi type-VIII and IX space time with a time-dependent gauge function and a matter field in the term of perfect fluid
Summary
Theory of general relativity (Einstein 1916) has served as basis for the study of cosmological models of universe. (2016) Einstein Rosen Mesonic Perfect Fluid Cosmological Model with Time Dependent Λ-Term. Mohanty and Mishra [20] have studied the feasibility of Bianchi type-VIII and IX space time with a time-dependent gauge function and a matter field in the term of perfect fluid. Very recently Adhav et al [22] have studied cylindrically symmetric Einstein Rosen cosmological model with wet dark fluid (WDF) in general relativity. Katore et al [23] have investigated cylindrically symmetric Einstein Rosen space time with bulk viscosity and zero mass scalar field in Lyra geometry. In this paper we consider the cylindrically symmetric space time in mesonic perfect fluid with time-dependent Λ-term in general theory of relativity. A static vacuum model and a non-static cosmological model are presented and studied in detail
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