Abstract

Kantowski-Sachs plane symmetric models are investigated in bimetric theory of gravitation proposed by Rosen [1] 08D0C9EA79F9BACE118C8200AA004BA90B02000000080000000E0000005F005200650066003400310035003100330038003900340034000000 in the context of bulk viscous fluid. Taking conservation law and the equation of state, two different models of the universe are obtained. It is observed that Kantowski-Sachs vacuum model obtained in first case and bulk viscous fluid model obtained in second case. It is also observed that the bulk viscous cosmological model always represents an accelerated universe and consistent with the recent observations of type-1a supernovae. Some physical and geometrical features of the viscous fluid model are studied.

Highlights

  • General relativity established by Einstein serves as a basis for constructing mathematical models of the universe

  • To the best of our knowledge no author has studied Kantowski-Sachs plane symmetric model in the context of bimetric theory of relativity, when source of the gravitational field is governed by bulk viscous fluid

  • The work reported in first case concludes that Kantowski-Sachs plane symmetric model does not accommodate bulk viscous fluid in bimetric theory of relativity

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Summary

Introduction

General relativity established by Einstein serves as a basis for constructing mathematical models of the universe. Sahoo [23] has studied Kantowski-Sachs model in presence of cosmic cloud strings coupled with electromagnetic field in bimetric theory. He has shown that there is no contribution from Maxwell’s field but established the geometric string model and vacuum model of the universe. To the best of our knowledge no author has studied Kantowski-Sachs plane symmetric model in the context of bimetric theory of relativity, when source of the gravitational field is governed by bulk viscous fluid. The work reported in first case concludes that Kantowski-Sachs plane symmetric model does not accommodate bulk viscous fluid in bimetric theory of relativity. Kantowski-Sachs bulk viscous fluid model obtained in second case

Field Equations
Solution of the Field Equations
Conclusion
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