Quadrupole Instabilities of Relativistic Rotating Membranes

Details Quadrupole Instabilities of Relativistic Rotating Membranes Quadrupole Instabilities of Relativistic Rotating Membranes

2001-05-29

arxiv.org/abs/hep-th/0105292v1

Phys.Rev.D64:107901,2001

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, 1 figure

Scientific paper

10.1103/PhysRevD.64.107901

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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