Global Structure of Spherically Symmetric Solutions of Einstein’s Equations with an Electromagnetic Field

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 propert...

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Bibliographic Details
Published in:Proceedings of the Steklov Institute of Mathematics 2019-09, Vol.306 (1), p.9-19
Main Author: Afanasev, D. E.
Format: Article
Language:English
Subjects:
Cosmological constant
Electromagnetic fields
Electromagnetism
Mathematical analysis
Mathematics
Mathematics and Statistics
Spacetime
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Summary: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.
ISSN:0081-5438
1531-8605
DOI:10.1134/S008154381905002X