New instability in relativistic cylindrically symmetric system

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dc.creatorNakao, Ken-ichi
dc.creatorIda, Daisuke
dc.creatorKurita, Yasunari
dc.date2007-11-02
dc.date.accessioned2026-07-07T11:12:51Z
dc.date.available2026-07-07T11:12:51Z
dc.descriptionWe investigate an infinitesimally thin cylindrical shell composed of counter-rotating dust particles. This system was studied by Apostolatos and Thorne in terms of the C-energy for a bounded domain. In this paper, we reanalyze this system by evaluating the C-energy on the future null infinity. We find that some class of momentarily static and radiation-free initial data does not settle down into static, equilibrium configurations, and otherwise infinite amount of the gravitational radiation is emitted to the future null infinity. Our result implies the existence of an instability in this system. In the framework of the Newtonian gravity, a cylindrical shell composed of counter-rotating dust particles can be in a steady state with oscillation by the gravitational attraction and centrifugal repulsion, and hence a static state is not necessarily realized as a final state. By contrast, in the framework of general relativity, the steady oscillating state will be impossible since the gravitational radiation will carry the energy of the oscillation to infinity. Thus, this instability has no counterpart in the Newtonian gravity.
dc.description16 pages, no figure
dc.identifierhttps://arxiv.org/abs/0711.0243
dc.identifierhttp://arxiv.org/abs/0711.0243
dc.identifierPhys.Rev.D77:044021,2008
dc.identifierdoi:10.1103/PhysRevD.77.044021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/191522
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleNew instability in relativistic cylindrically symmetric system
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