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  Static fluid cylinders and their fields: global solutions

Bicak, J., Ledvinka, T., Schmidt, B. G., & Zofka, M. (2004). Static fluid cylinders and their fields: global solutions. Classical and Quantum Gravity, 21, 1583-1608.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5162-C Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5163-A
Genre: Journal Article

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0403012.pdf (Preprint), 372KB
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 Creators:
Bicak, Jiri, Author
Ledvinka, T., Author
Schmidt, Bernd G.1, Author
Zofka, M., Author
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24012              

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 Abstract: 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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Language(s): eng - English
 Dates: 2004
 Publication Status: Published in print
 Pages: -
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 Rev. Method: -
 Identifiers: eDoc: 195031
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Title: Classical and Quantum Gravity
Source Genre: Journal
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Pages: - Volume / Issue: 21 Sequence Number: - Start / End Page: 1583 - 1608 Identifier: -