A solution for non-stationary, slowly-rotating, cylindrically symmetric, perfect fluid universe

Authors

  • M.P.A. Wijayasiri
  • P.K.C.M. Wijewickrema

Abstract

An analytic solution for the relativistic field equations is obtained for a non-stationary, slowly rotating, cylindrically symmetric distribution of perfect fluid universe. The new metric, is regular with the exception at the point r = 0. There is a gravitational singularity at r = 0. At t = 0 the pressure p and density r are maximum and tends to ¥ throughout the radial coordinate r (0< r < ¥), but the solutions are well behaved for t >0, and p and r are decreasing to zero as t increases through the range 0 < t < ¥. So according to the model, it has the big bang singularity at t = 0, where r diverges.

Author Biographies

  • M.P.A. Wijayasiri
    Department of Mathematics,University of Ruhuna,Matara.
  • P.K.C.M. Wijewickrema
    Department of Mathematics,University of Ruhuna,Matara,

References

Adler, R., Bazin,M. and Shiffer. 1975. Introduction to General Relativity. New York:McGraw-Hill.

Butterworth, EM., JR. Isper. 1975. . Astrophysical Jn. 200.

Chandrasekhar, S. 1983. The Mathematical Theory of Black Holes. New York: Oxford University Press.

Davidson, W. 1992. A one-parameter family of cylindrically symmetric perfect fluid cosmologies. Phys. Rev. D 24.

Gasperini, M., V. de Sabbata. 1985. Introduction to gravitation. Singapore:World Scientific.

Rowe, E.G.P. 2001. Geometrical Physics in Minkowski Spacetime. London: Springer.

Saha, SK. 1981. . Phys. Rev. D24 .

Stephani, H. 1982. General Relativity. Cambridge: Cambridge University Press.

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Published

2012-02-08

Issue

Volume 2

Section

Science

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