Circular String-Instabilities in Curved Spacetime

Details Circular String-Instabilities in Curved Spacetime Circular String-Instabilities in Curved Spacetime

1993-11-16

arxiv.org/abs/hep-th/9311085v1

Phys.Rev. D50 (1994) 2623-2630

Physics

High Energy Physics

High Energy Physics - Theory

24 pages Latex + 2 figures (not included). Observatoire de Paris, Meudon No. 93052

Scientific paper

10.1103/PhysRevD.50.2623

We investigate the connection between curved spacetime and the emergence of string-instabilities, following the approach developed by Loust\'{o} and S\'{a}nchez for de Sitter and black hole spacetimes. We analyse the linearised equations determining the comoving physical (transverse) perturbations on circular strings embedded in Schwarzschild, Reissner-Nordstr\"{o}m and de Sitter backgrounds. In all 3 cases we find that the "radial" perturbations grow infinitely for $r\rightarrow 0$ (ring-collapse), while the "angular" perturbations are bounded in this limit. For $r\rightarrow\infty$ we find that the perturbations in both physical directions (perpendicular to the string world-sheet in 4 dimensions) blow up in the case of de Sitter space. This confirms results recently obtained by Loust\'{o} and S\'{a}nchez who considered perturbations around the string center of mass.

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