Some remarks on finite-gap solutions of the Ernst equation

Abstract

It is shown that the class of algebro-geometrical (finite-gap) solutions of the Ernst equation constructed several years ago in [D.Korotkin, Theor.Math.Phys., 77 (1989), p. 1018] contains the solutions recently constructed by R.Meinel and G.Neugebauer as a subset.

4 pages, LATEX style espcrc2, no figures, revised version

References in corpus (2)

• General relativistic gravitational field of a rigidly rotating disk of dust: Solution in terms of ultraelliptic functions
• Solutions of Einstein's field equations related to Jacobi's inversion problem

Cited by in corpus (9)

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• Exact Relativistic Gravitational Field of a Stationary Counterrotating Dust Disk
• Exact relativistic treatment of stationary counter-rotating dust disks III. Physical Properties
• Exact relativistic treatment of stationary counter-rotating dust disks I: Boundary value problems and solutions
• Physically Realistic Solutions to the Ernst Equation on Hyperelliptic Riemann Surfaces
• Differentially rotating disks of dust
• Differentially rotating disks of dust: Arbitrary rotation law
• Dirichlet Boundary Value Problems of the Ernst Equation
• Gravitational fields of rotating disks and black holes