Quadrupole Instabilities of Relativistic Rotating Membranes

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 ($l\ge 2$) 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.

5 pages, 1 figure

References in corpus (5)

• M(atrix) Theory: Matrix Quantum Mechanics as a Fundamental Theory
• Ramond-Ramond Field Radiation from Rotating Ellipsoidal Membranes
• Metastability of Spherical Membranes in Supermembrane and Matrix Theory
• Stability of the Rotating Ellipsoidal D0-brane System
• Properties of perturbative solutions of unilateral matrix equations

Cited by in corpus (8)

• Euler Top Dynamics of Nambu-Goto P-Branes
• Rotating Toroidal Branes in Supermembrane and Matrix Theory
• M2-brane Dynamics in the Classical Limit of the BMN Matrix Model
• Stringy Membranes in AdS/CFT
• Multipole Stability of Spinning M2-branes in the Classical Limit of the BMN Matrix Model
• Cascade of instabilities in the classical limit of the BMN matrix model
• M-theory as a dynamical system generator
• Turbulent aspects of BMN membrane dynamics