Equilibrium and stability of relativistic cylindrical polytropes
- Creators
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Scheel, M.
- Shapiro, S. L.
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Teukolsky, S. A.
Abstract
We examine the structure and radial stability of infinitely long cylindrical polytropes in general relativity. We show that in contrast with spherical polytropes, all cylindrical polytropes are stable. Thus pressure regeneration is not decisive in determining the behavior of cylindrical systems. We discuss how the behavior of infinite cylinders is qualitatively different from that of finite, asymptotically flat configurations. We argue that the use of infinite cylinders to gain physical insight into the collapse of finite aspherical systems may be misleading. In particular, the ability of pressure and rotation to always halt the collapse of an infinite cylinder to a naked singularity may not carry over to finite systems.
Additional Information
© 1993 American Physical Society. (Received 30 November 1992) This research was supported in part by NSF Grant Nos. AST 91-19475 and PHY 90-07834 and NASA Grant No. NAGW-2364 at Cornell University.Attached Files
Published - PhysRevD.48.592.pdf
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Additional details
- Eprint ID
- 88021
- Resolver ID
- CaltechAUTHORS:20180719-145630067
- NSF
- AST 91-19475
- NSF
- PHY 90-07834
- NASA
- NAGW-2364
- Created
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2018-07-19Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field