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Teoreticheskaya i Matematicheskaya Fizika, 2001, Volume 127, Number 3, Pages 418–431
DOI: https://doi.org/10.4213/tmf470
(Mi tmf470)
 

This article is cited in 3 scientific papers (total in 3 papers)

Exact Relativistic Treatment of Stationary Counter-Rotating Dust Disks: Axis, Disk, and Limiting Cases

C. Klein

Université Pierre & Marie Curie, Paris VI
Full-text PDF (266 kB) Citations (3)
References:
Abstract: We continue to study the construction of explicit solutions of the stationary axisymmetric Einstein equations, interpretable as counterrotating disks of dust. We discuss the previously constructed class of solutions for disks with constant angular velocity and constant relative density. The metric for these space-times is given in terms of theta functions on a Riemann surface of genus two. We discuss the metric functions at the axis of symmetry and on the disk. Interesting limiting cases are the Newtonian, static, and ultrarelativistic limits (in the latter limit, the central red shift diverges).
English version:
Theoretical and Mathematical Physics, 2001, Volume 127, Issue 3, Pages 767–778
DOI: https://doi.org/10.1023/A:1010499718119
Bibliographic databases:
Language: Russian
Citation: C. Klein, “Exact Relativistic Treatment of Stationary Counter-Rotating Dust Disks: Axis, Disk, and Limiting Cases”, TMF, 127:3 (2001), 418–431; Theoret. and Math. Phys., 127:3 (2001), 767–778
Citation in format AMSBIB
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\paper Exact Relativistic Treatment of Stationary Counter-Rotating Dust Disks: Axis, Disk, and Limiting Cases
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\vol 127
\issue 3
\pages 418--431
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\crossref{https://doi.org/10.4213/tmf470}
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\zmath{https://zbmath.org/?q=an:0995.83028}
\transl
\jour Theoret. and Math. Phys.
\yr 2001
\vol 127
\issue 3
\pages 767--778
\crossref{https://doi.org/10.1023/A:1010499718119}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000170636700008}
Linking options:
  • https://www.mathnet.ru/eng/tmf470
  • https://doi.org/10.4213/tmf470
  • https://www.mathnet.ru/eng/tmf/v127/i3/p418
  • This publication is cited in the following 3 articles:
    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
    Statistics & downloads:
    Abstract page:502
    Full-text PDF :182
    References:49
    First page:1
     
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