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Teoreticheskaya i Matematicheskaya Fizika, 2003, Volume 134, Number 1, Pages 85–100
DOI: https://doi.org/10.4213/tmf142 (Mi tmf142) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Isomonodromy Approach to Boundary Value Problems for the Ernst Equation

C. Klein

Max Planck Institute for the Physics of Complex Systems
Full-text PDF (284 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf142
Abstract: We use the isomonodromy properties of theta-functional solutions of the Ernst equation and an asymptotic expansion in the spectral parameter to establish algebraic relations, enforced by the underlying Riemann surface, between the metric functions and their derivatives. These relations determine which classes of boundary value problems can be solved on a given surface. The situation on lower-genus Riemann surfaces is studied in detail.
Keywords: general relativity theory, exact solutions, isomonodromy deformations.
English version:
Theoretical and Mathematical Physics, 2003, Volume 134, Issue 1, Pages 72–85
DOI: https://doi.org/10.1023/A:1021819707013
Bibliographic databases:
Language: Russian
Citation: C. Klein, “Isomonodromy Approach to Boundary Value Problems for the Ernst Equation”, TMF, 134:1 (2003), 85–100; Theoret. and Math. Phys., 134:1 (2003), 72–85
Citation in format AMSBIB
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\paper Isomonodromy Approach to Boundary Value Problems for the Ernst Equation
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\transl
\jour Theoret. and Math. Phys.
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\pages 72--85
\crossref{https://doi.org/10.1023/A:1021819707013}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000181042100007}
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  • https://www.mathnet.ru/eng/tmf142
  • https://doi.org/10.4213/tmf142
  • https://www.mathnet.ru/eng/tmf/v134/i1/p85
    • This publication is cited in the following 3 articles:
    1. Christian Klein, Lecture Notes in Physics, 685, Ernst Equation and Riemann Surfaces, 2005, 237  crossref
    2. Klein, C, “On explicit solutions to the stationary axisymmetric Einstein-Maxwell equations describing dust disks”, Annalen der Physik, 12:10 (2003), 599  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    3. C. Klein, “On explicit solutions to the stationary axisymmetric Einstein‐Maxwell equations describing dust disks”, Annalen der Physik, 515:10 (2003), 599  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:358
    Full-text PDF :202
    References:73
    First page:1
     
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