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Einstein–Maxwell Equations on Four-dimensional Lie Algebras

Part of: Global differential geometry Lie algebras and Lie superalgebras Local differential geometry

Published online by Cambridge University Press:  09 May 2019

Caner Koca  and
Mehdi Lejmi
Caner Koca
Affiliation:
Department of Mathematics, NYC College of Technology of CUNY, Brooklyn, NY 11021, USA Email: ckoca@citytech.cuny.edu
Mehdi Lejmi
Affiliation:
Department of Mathematics, Bronx Community College of CUNY, Bronx, NY 10453, USA Email: mehdi.lejmi@bcc.cuny.edu
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Abstract

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We classify up to automorphisms all left-invariant non-Einstein solutions to the Einstein–Maxwell equations on four-dimensional Lie algebras.

Keywords

Einstein–Maxwell metricLie algebraKähler metricalmost complex structure

MSC classification

Primary: 17B81: Applications to physics
Secondary: 53B35: Hermitian and Kählerian structures 53B50: Applications to physics 53C25: Special Riemannian manifolds (Einstein, Sasakian, etc.)

Information

Type
Article
Information
Canadian Mathematical Bulletin , Volume 62 , Issue 4 , December 2019 , pp. 822 - 840
Copyright
© Canadian Mathematical Society 2019 

Footnotes

The authors were supported in part by a PSC-CUNY research award #61768-00 49.

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