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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2000, Volume 228, Pages 168–195 (Mi tm499)  
This article is cited in 9 scientific papers (total in 9 papers)

Global Solutions in Gravity. Lorentzian Signature

M. O. Katanaev

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (370 kB) Citations (9)
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Abstract: A constructive method of conformal blocks is developed for the construction of global solutions for two-dimensional metrics having one Killing vector. The method is proved to yield a smooth universal covering space with a smooth pseudo-Riemannian metric. The Schwarzschild, Reisner–Nordström solutions, extremal black hole, dilaton black hole, and constant curvature surfaces are considered as examples.
Received in September 1999
Bibliographic databases:
Document Type: Article
UDC: 531.51
Language: Russian
Citation: M. O. Katanaev, “Global Solutions in Gravity. Lorentzian Signature”, Problems of the modern mathematical physics, Collection of papers dedicated to the 90th anniversary of academician Nikolai Nikolaevich Bogolyubov, Trudy Mat. Inst. Steklova, 228, Nauka, MAIK «Nauka/Inteperiodika», M., 2000, 168–195; Proc. Steklov Inst. Math., 228 (2000), 158–183
Citation in format AMSBIB
\Bibitem{Kat00}
\by M.~O.~Katanaev
\paper Global Solutions in Gravity. Lorentzian Signature
\inbook Problems of the modern mathematical physics
\bookinfo Collection of papers dedicated to the 90th anniversary of academician Nikolai Nikolaevich Bogolyubov
\serial Trudy Mat. Inst. Steklova
\yr 2000
\vol 228
\pages 168--195
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm499}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1782580}
\zmath{https://zbmath.org/?q=an:0985.83004}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2000
\vol 228
\pages 158--183
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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