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Some remarks on finite-gap solutions of the Ernst equation
Institution:1. Vocational and Technical College of Inner Mongolia Agricultural University, Baotou, 014109, China;2. Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran;3. Natural Sciences Faculty, Lankaran State University, 50, H. Aslanov str., Lankaran, Azerbaijan;4. Department of Mathematics, Faculty of Education, Erciyes University, 38039-Melikgazi-Kayseri, Turkey;5. Department of Fluid Mechanics, University of TU Braunschweig, Germany;6. DS & CI Research Group, Universitas Sumatera Utara, Medan, Indonesia;1. Department of Applied Mathematics, University of Colorado, Campus Box 526, Boulder, CO 80309-0526, USA;2. Department of Mathematics, Florida State University, Tallahassee, FL 32306, USA
Abstract:The relationship between the class of algebro-geometrical (finite-gap) solutions of the Ernst equation constructed by Korotkin and Matveev Theor. Math. Phys. 77 (1989) 1018; St. Petersburg Math. J. 1 (1990) 379] and the solutions recently constructed by Meinel and Neugebauer Phys. Lett. A 210 (1996) 160] is discussed. A new formula for the general algebro-geometrical solution is obtained.
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