Vertex Operator Solutions of 2d Dimensionally Reduced Gravity
solv-int
2008-11-26 v3 General Relativity and Quantum Cosmology
High Energy Physics - Theory
Exactly Solvable and Integrable Systems
Abstract
We apply algebraic and vertex operator techniques to solve two dimensional reduced vacuum Einstein's equations. This leads to explicit expressions for the coefficients of metrics solutions of the vacuum equations as ratios of determinants. No quadratures are left. These formulas rely on the identification of dual pairs of vertex operators corresponding to dual metrics related by the Kramer-Neugebauer symmetry.
Cite
@article{arxiv.solv-int/9902017,
title = {Vertex Operator Solutions of 2d Dimensionally Reduced Gravity},
author = {Denis Bernard and Nicolas Regnault},
journal= {arXiv preprint arXiv:solv-int/9902017},
year = {2008}
}
Comments
20 pages; added comparison with Belinskii-Zakharov method and remarks