Generalized Hooke Law for Relativistic Membranes and p-branes
High Energy Physics - Theory
2012-01-24 v1 Cosmology and Nongalactic Astrophysics
Statistical Mechanics
Abstract
The character of elastic forces of relativistic membranes and -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.
Keywords
Cite
@article{arxiv.1201.3051,
title = {Generalized Hooke Law for Relativistic Membranes and p-branes},
author = {A. A. Zheltukhin},
journal= {arXiv preprint arXiv:1201.3051},
year = {2012}
}
Comments
8 pages; Talk given at the 3rd Int. Conference "Quantum Electrodynamics and Statistical Physics" (QEDSP2011), August 29-September 2, 2011, Kharkov, Ukraine