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 TMF, 1997, Volume 111, Number 3, Pages 345–355 (Mi tmf1013)

Equilibrium configuration of black holes and inverse scattering method

G. G. Varzugin

V. A. Fock Institute of Physics, Saint-Petersburg State University

Abstract: The inverse scattering method is applied for investigation of equilibrium configuration of black holes. Basing on the study of the boundary problem corresponding to this configuration it is shown that any axially symmetric stationary solution of Einstein equations with disconnected event horison must be contained in the class of Belinskiy–Zaharov solutions. The relations between angular momenta and angular velocities of the black holes are derived.

DOI: https://doi.org/10.4213/tmf1013

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English version:
Theoretical and Mathematical Physics, 1997, 111:3, 667–675

Bibliographic databases:

Citation: G. G. Varzugin, “Equilibrium configuration of black holes and inverse scattering method”, TMF, 111:3 (1997), 345–355; Theoret. and Math. Phys., 111:3 (1997), 667–675

Citation in format AMSBIB
\Bibitem{Var97} \by G.~G.~Varzugin \paper Equilibrium configuration of black holes and inverse scattering method \jour TMF \yr 1997 \vol 111 \issue 3 \pages 345--355 \mathnet{http://mi.mathnet.ru/tmf1013} \crossref{https://doi.org/10.4213/tmf1013} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=1472213} \zmath{https://zbmath.org/?q=an:0978.83506} \transl \jour Theoret. and Math. Phys. \yr 1997 \vol 111 \issue 3 \pages 667--675 \crossref{https://doi.org/10.1007/BF02634055} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1997YC44100003} 

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This publication is cited in the following articles:
1. E. Sh. Gutshabash, V. D. Lipovskii, S. S. Nikulichev, “Nonlinear $\sigma$-model in a curved space, gauge equivalence, and exact solutions of $(2+0)$-dimensional integrable equations”, Theoret. and Math. Phys., 115:3 (1998), 619–638
2. Varzugin, GG, “Charged rotating black holes in equilibrium”, Classical and Quantum Gravity, 19:17 (2002), 4553
3. Manko, VS, “Double-Reissner-Nordstrom solution and the interaction force between two spherical charged masses in general relativity”, Physical Review D, 76:12 (2007), 124032
4. Chrusciel P.T., Eckstein M., Luc Nguyen, Szybka S.J., “Existence of singularities in two-Kerr black holes”, Classical Quantum Gravity, 28:24 (2011), 245017
5. Neugebauer G., Hennig J., “Stationary two-black-hole configurations: A non-existence proof”, J Geom Phys, 62:3 (2012), 613–630
6. Meinel R., “Constructive proof of the Kerr-Newman black hole uniqueness including the extreme case”, Classical Quantum Gravity, 29:3 (2012), 035004
7. Clement M.E.G., “Bounds on the Force Between Black Holes”, Class. Quantum Gravity, 29:16 (2012), 165008
8. Chrusciel P.T., Costa J.L., Heusler M., “Stationary Black Holes: Uniqueness and Beyond”, Living Rev. Relativ., 15 (2012), 7
9. Beyer F., Henning J., “An Exact Smooth Gowdy-Symmetric Generalized Taub-NUT Solution”, Class. Quantum Gravity, 31:9 (2014)
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