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

DOI10.1090/S0002-9947-2013-05790-XzbMath1290.58014MaRDI QIDQ5401717

Giona Veronelli, Emmanuel Hebey

Publication date: 12 March 2014

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Einstein-Maxwell theoryLichnerowicz equation

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Related Items (11)

The general relativistic constraint equations ⋮ Solutions to the Einstein-scalar field constraint equations with a small TT-tensor ⋮ Initial data for rotating cosmologies ⋮ Lichnerowicz-type equations with sign-changing nonlinearities on complete manifolds with boundary ⋮ Elliptic equation with critical and negative exponents involving the GJMS operator on compact Riemannian manifolds ⋮ Non-compactness and infinite number of conformal initial data sets in high dimensions ⋮ A pointwise finite-dimensional reduction method for Einstein-Lichnerowicz-type systems: the six-dimensional case ⋮ Existence results for the Einstein-scalar field Lichnerowicz equations on compact Riemannian manifolds in the null case ⋮ A pointwise finite-dimensional reduction method for a fully coupled system of Einstein–Lichnerowicz type ⋮ Stability of the Einstein-Lichnerowicz constraint system ⋮ Effective multiplicity for the Einstein-scalar field Lichnerowicz equation

Cites Work

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