A solution for a family of perfect fluid cylinders in general relativity

Details A solution for a family of perfect fluid cylinders in general relativity A solution for a family of perfect fluid cylinders in general relativity

May 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990gregr..22..553d&link_type=abstract

General Relativity and Gravitation, Volume 22, Issue 5, pp.553-560

Physics

10

Scientific paper

A static solution of Einstein's equations representing perfect fluid cylinders of finite radius is presented. The densityμ and pressurep are finite and monotonic decreasing from the axis to the boundary. The ratiop/μ (< 1) also decreases steadily. The regularity condition at the axis is satisfied and the solution is free of singularity. The equation of state is found and special cases considered. It is shown that the solution can be joined to the vacuum cylindrical metric at the boundary. There is then at least one free parameter left in the family of solutions.

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