Scratching the Surface: Deformations of Relativistic Membranes (original) (raw)

Abstract

ABSTRACT We review our recent work on the covariant treatment of the kinematics of infinitesimal deformations of the worldsheet spanned in spacetime by a relativistic membrane. We also describe a coupled system of non-linear partial differential equations which describes non-perturbatively the evolution of large deformations of an extremal relativistic membrane. These can be seen as higher-dimensional analogs of the Raychaudhuri equations for point particles.

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