Generalized Hooke Law for Relativistic Membranes and p-branes

Abstract

The character of elastic forces of relativistic membranes and $p$-branes encoded in their nonlinear equations is studied. The toroidal brane equations are reduced to the classical equations of anharmonic elastic media described by monomial potentials. Integrability of the equations is discussed and some of their exact solutions are constructed.

arXiv comment8 pages; Talk given at the 3rd Int. Conference "Quantum Electrodynamics and Statistical Physics" (QEDSP2011), August 29-September 2, 2011, Kharkov, Ukraine

Cited by in corpus (2)

• On brane symmetries
• On nonlinearity of p-brane dynamics