Bulg. J. Phys. vol.28 no.5-6 (2001), pp. 193-199



Does a Scalar Meson Field Represent an Irrotational Perfect Fluid in Bimetric Theory?

G. Mohanty1, P. Sahoo2
1School of Mathematical Sciences, Sambalpur University, Jyoti Vihar, Sambalpur-768019, Orissa, India
2Department of Engineering Mathematics, Padmashree Krutartha A chary a College of Engineering, Bargarh- 768028, Orissa, India
Abstract. The problems of homogeneous plane symmetric perfect fluid and massive scalar field are investigated in Rosen's bimetric theory. It is shown that a macro cosmological model represented by perfect fluid distribution does not exist and only a vacuum model can be constructed whereas in case of a micro cosmological model represented by a scalar meson field exists and the model is obtained. Moreover it is shown that the massive scalar field cannot be equivalent to irrotational perfect fluid neither through the identification of the corresponding eigenvalues of their energy momentum tensors nor through the transformation as in the case of Tiwary et al and Tabensky and Taub respectively in general theory of relativity.

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