Circular string instabilities in curved spacetime
| Autor: | Larsen Al |
|---|---|
| Rok vydání: | 1994 |
| Předmět: |
Physics
High Energy Physics - Theory Quantum field theory in curved spacetime De Sitter space FOS: Physical sciences String (physics) Black hole General Relativity and Quantum Cosmology de Sitter–Schwarzschild metric Classical mechanics High Energy Physics - Theory (hep-th) De Sitter universe Connection (algebraic framework) Schwarzschild radius General Theoretical Physics Mathematical physics |
| Zdroj: | Physical review. D, Particles and fields. 50(4) |
| ISSN: | 0556-2821 |
| Popis: | 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. Comment: 24 pages Latex + 2 figures (not included). Observatoire de Paris, Meudon No. 93052 |
| Databáze: | OpenAIRE |
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