Contents Online
Mathematical Research Letters
Volume 9 (2002)
Number 1
Ernst equation, Fay identities and variational formulas on hyperelliptic curves
Pages: 27 – 45
DOI: https://dx.doi.org/10.4310/MRL.2002.v9.n1.a3
Authors
Abstract
We present a unified approach to theta-functional solutions of the stationary axisymmetric Einstein equations in vacuum. Using Fay’s trisecant identity and variational formulas on hyperelliptic Riemann surfaces, we establish formulas for the metric functions, the Ernst potential and their derivatives.
Published 1 January 2002