Perturbations of spiky strings in flat spacetimes

Abstract

Perturbations of a class of semiclassical strings known today as spiky strings, are studied using the well-known Jacobi equations for small normal deformations of an embedded timelike surface. It is shown that there exists finite normal perturbations of the spiky string worldsheets embedded in a $2+1$ dimensional flat spacetime. Such perturbations lead to a rounding off of the spikes, which, in a way, demonstrates the stable nature of the unperturbed worldsheet. The same features appear for the dual spiky string solution and in the spiky as well as their dual solutions in $3+1$ dimensional flat spacetime. Our results are based on exact solutions of the corresponding Jacobi equations which we obtain and use while constructing the profiles of the perturbed configurations.

arXiv comment23 pages, 19 figures, added definitions and clarifications, minor changes, to appear in JHEP

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• Instability of stationary closed strings winding around flat torus in five-dimensional Schwarzschild spacetimes
• Pulsating string solution and stability in two parameter $\chi$-deformed background