Vertex Operator Solutions of 2d Dimensionally Reduced Gravity

Details Vertex Operator Solutions of 2d Dimensionally Reduced Gravity Vertex Operator Solutions of 2d Dimensionally Reduced Gravity

1999-02-25

arxiv.org/abs/solv-int/9902017v3

Commun.Math.Phys.210:177-201,2000

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

20 pages; added comparison with Belinskii-Zakharov method and remarks

Scientific paper

10.1007/s002200050776

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.

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