Equilibrium and stability of relativistic cylindrical polytropes

M. A. Scheel, S. L. Shapiro, S. A. Teukolsky

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish (US)
Pages (from-to)592-606
Number of pages15
JournalPhysical Review D
Volume48
Issue number2
DOIs
StatePublished - 1993
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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