The Lichnerowicz equation in the closed case of the Einstein-Maxwell theory

Hebey, Emmanuel; Veronelli, Giona

doi:10.1090/S0002-9947-2013-05790-X

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.

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