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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2019, Volume 306, Pages 16–27
DOI: https://doi.org/10.4213/tm4027 (Mi tm4027) 		 
Global Structure of Spherically Symmetric Solutions of Einstein's Equations with an Electromagnetic Field

D. E. Afanasev

School no. 1561, ul. Paustovskogo 6, korp. 2, Moscow, 117463 Russia
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DOI: https://doi.org/10.4213/tm4027
Abstract: We classify all global spherically symmetric solutions of Einstein's equations with an electromagnetic field and a cosmological constant. The classification comprises 11 topologically inequivalent solutions. The spacetime is assumed to be a warped product of two surfaces. The study of global properties of solutions is carried out by the method of conformal blocks, which consists in analyzing the zeros and poles of a conformal factor contained in the spacetime metric.
Received: December 17, 2018
Revised: December 21, 2018
Accepted: May 28, 2019
English version:
Proceedings of the Steklov Institute of Mathematics, 2019, Volume 306, Pages 9–19
DOI: https://doi.org/10.1134/S008154381905002X
Bibliographic databases:
Document Type: Article
UDC: 514.822
Language: Russian
Citation: D. E. Afanasev, “Global Structure of Spherically Symmetric Solutions of Einstein's Equations with an Electromagnetic Field”, Mathematical physics and applications, Collected papers. In commemoration of the 95th anniversary of Academician Vasilii Sergeevich Vladimirov, Trudy Mat. Inst. Steklova, 306, Steklov Math. Inst. RAS, Moscow, 2019, 16–27; Proc. Steklov Inst. Math., 306 (2019), 9–19
Citation in format AMSBIB
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\bookinfo Collected papers. In commemoration of the 95th anniversary of Academician Vasilii Sergeevich Vladimirov
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\pages 16--27
\publ Steklov Math. Inst. RAS
\publaddr Moscow
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
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