Static fluid cylinders and their fields: global solutions

Details Static fluid cylinders and their fields: global solutions Static fluid cylinders and their fields: global solutions

2004-03-02

arxiv.org/abs/gr-qc/0403012v1

Class.Quant.Grav. 21 (2004) 1583-1608

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1088/0264-9381/21/6/019

The global properties of static perfect-fluid cylinders and their external Levi-Civita fields are studied both analytically and numerically. The existence and uniqueness of global solutions is demonstrated for a fairly general equation of state of the fluid. In the case of a fluid admitting a non-vanishing density for zero pressure, it is shown that the cylinder's radius has to be finite. For incompressible fluid, the field equations are solved analytically for nearly Newtonian cylinders and numerically in fully relativistic situations. Various physical quantities such as proper and circumferential radii, external conicity parameter and masses per unit proper/coordinate length are exhibited graphically.

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