Solutions to the Einstein-scalar field constraint equations with a small TT-tensor

2015/02/18 by Romain Gicquaud, Gicquaud, Romain, The Cang Nguyen +1
Mathematics · Physics and Astronomy · #35J20 #35J61 #49J50 #53Z05 #58J05 #83C05 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Mathematical Physics (math-ph) #gr-qc #math-ph #math.AP #math.DG #math.MP #msc:35J20 #msc:35J61 #msc:49J50 #msc:53Z05 #msc:58J05 #msc:83C05

paper · pdf · doi:10.48550/arxiv.1502.05164

19 pages, no figure. All comments welcome

arxiv created 2015/02/18 · arxiv updated 2016/10/05

Abstract

In this paper, we prove a far-from-CMC result similar to the ones obtained by Holst, Nagy, Tsogtgerel and Maxwell for the conformal Einstein-scalar field constraint equations on compact Riemannian manifolds with positive (modified) Yamabe invariant.

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