THE EXPANDING MODEL OF THE CONFORMALLY FLAT NON-STATIC SPHERICALLY SYMMETRIC PERFECT FLUID DISTRIBUTIONS

Authors

  • Dr. Manjusha Hajare Borkar Assistant Professor, Department of Mathematics, Kamla Nehru Mahavidyalaya, Nagpur, Maharashtra, India

DOI:

https://doi.org/10.29121/shodhkosh.v5.i6.2024.3139

Abstract [English]

The explicit expressions for pressure, density expansion, rotation, sheer and non vanishing component of flow vector have been obtained. In this this note ,we have discussed the various geometrical and physical properties of spherically symmetric metric space time obtained by Roy and Bali [5] by considering the triples of orthogonal unit vectorsα_i, β_i. Here we connect all the physical quantities obtained by Roy and Bali [5] with mathematical quantities ρ^a in Borkar and Hajare [3]. Further it is noticed that the model is expanding, rotating, shearing but non geodetic.

References

Takeno H., “The theory of spherically symmetric space time”, Hiroshima University, Japan, (1966).

Karade T.M. and Borkar M.S., J, Post-RAAG reports, Japan, 350, 1(2000).

Borkar M.S. and Hajare M.H., J. Tensor Society, Japan. (No. 3), 269(2007).

Borkar M.S. and Hajare M.H. , J. vid J. sci. Amaravati, (No.1), 40(2008).

Roy S.R. and Raj Bali, “Conformally flat non-static spherically symmetric perfect fluid distribution in general relativity”, Indian J. pure appl. Maths 9,871 (1978).

Singh K.P. and Abdussattar (1974). A conformally flat non-static perfect fluid distribution. G.R.G., 5(1), 115-18. DOI: https://doi.org/10.1007/BF00758078

Pandey S.N. and Tiwari R.,“Conformally flat spherically symmetric charged perfect fluid distribution in general relativity”, Indian J. pure appl. Math. 12(2) (1981).

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Published

2024-06-30

How to Cite

Borkar, D. M. H. (2024). THE EXPANDING MODEL OF THE CONFORMALLY FLAT NON-STATIC SPHERICALLY SYMMETRIC PERFECT FLUID DISTRIBUTIONS. ShodhKosh: Journal of Visual and Performing Arts, 5(6), 2453–2457. https://doi.org/10.29121/shodhkosh.v5.i6.2024.3139