The Lichnerowicz equation in the closed case of the Einstein-Maxwell theory
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- by Emmanuel Hebey and Giona Veronelli PDF
- Trans. Amer. Math. Soc. 366 (2014), 1179-1193 Request permission
Abstract:
We investigate the existence of a solution and stability issues for the Einstein-scalar field Lichnerowicz equation in closed $3$-manifolds in the framework of the Einstein-Maxwell theory. The results we obtain provide a complete picture for both the questions of existence and stability.References
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Additional Information
- Emmanuel Hebey
- Affiliation: Département de Mathématiques, Université de Cergy-Pontoise, Site de Saint-Martin, 2 avenue Adolphe Chauvin, 95302 Cergy-Pontoise cedex, France
- Email: Emmanuel.Hebey@math.u-cergy.fr
- Giona Veronelli
- Affiliation: Département de Mathématiques, Université de Cergy-Pontoise, Site de Saint-Martin, 2 avenue Adolphe Chauvin, 95302 Cergy-Pontoise cedex, France
- Address at time of publication: Département de Mathématiques, Institut Galilée, Université Paris 13, 99 avenue Jean-Baptiste Clément, 93430 Villetaneuse, France
- MR Author ID: 889945
- Email: giona.veronelli@math.u-cergy.fr, veronelli@math.univ-paris13.fr
- Received by editor(s): October 26, 2011
- Published electronically: September 26, 2013
- © Copyright 2013 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 366 (2014), 1179-1193
- MSC (2010): Primary 58J05
- DOI: https://doi.org/10.1090/S0002-9947-2013-05790-X
- MathSciNet review: 3145727