Relativistic Incompressible Perfect Fluid Cylinders

Details Relativistic Incompressible Perfect Fluid Cylinders Relativistic Incompressible Perfect Fluid Cylinders

Dec 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998tx19.confe.114h&link_type=abstract

Abstracts of the 19th Texas Symposium on Relativistic Astrophysics and Cosmology, held in Paris, France, Dec. 14-18, 1998. Eds.:

Astronomy and Astrophysics

Astrophysics

Scientific paper

The problem of a static cylindrically symmertic incompressible perfect fluid in general relativity is considered. Using Kramer's formulation of the field equations, the problem is reduced into the single nonlinear second order differential equation [ 4 (z^2 - 2 z y - z^3 y + y^2 + 2 z^2 y^2 - z y^3) y'' + (8 z + 16 y - 20 z y - 10 y^2 + 9 z y^2) y' - ] [ (16 z - 10 z^2 + 8 y - 20 z y + 9 z^2 y) {y'}^2 + (8 z - 10 z^2 + 3 z^3) {y'}^3 - y (8 - 10 y + 3 y^2) = 0 .] An approximate solution in the form of a power series is obtained. Properties of the resulting metric functions are investigated.

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