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arXiv · hep-th/0105292

Quadrupole Instabilities of Relativistic Rotating Membranes

M. Axenides·E. G. Floratos·L. Perivolaropoulos
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Abstract

We generalize recent study of the stability of isotropic (spherical) rotating membranes to the anisotropic ellipsoidal membrane. We find that while the stability persists for deformations of spin $l=1$, the quadrupole and higher spin deformations ($l\geq 2$) lead to instabilities. We find the relevant instability modes and the corresponding eigenvalues. These indicate that the ellipsoidal rotating membranes generically decay into finger-like configurations.

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M. Axenides, E. G. Floratos, L. Perivolaropoulos. 2001-05-29. Quadrupole Instabilities of Relativistic Rotating Membranes. https://doi.org/10.1103/physrevd.64.107901

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