What people are saying - Write a review
We haven't found any reviews in the usual places.
Analytic Methods in the Study of the Initial Value Problem
Definitions and Results
Estimates for the Connection Coefficients
6 other sections not shown
Other editions - View all
ADM mass Assume assumptions 6.0.1 asymptotic behavior asymptotically flat Bianchi equations Bondi mass bootstrap assumption 4.2.5 c(Io Ch.Kl Chapter computation connection coefficients coordinates Corollary D3 log defined Definition deformation tensors denote depend diffeomorphism discussed double null canonical double null foliation Einstein equations evolution equation Evolution Lemma existence explicit expressions fitrx following estimates hold following inequalities hold global infinity initial data set initial hypersurface initial layer foliation Killing vector fields L2 norms last slice log ft Main Theorem Minkowski spacetime Moreover norms null canonical foliation null components null frame null hypersurfaces null pair null.incoming null.outgoing obtain proof of Theorem prove Qr X)m quantities recall relative Remark result Riemann components Riemann curvature tensor Riemann tensor right.hand side satisfy the following second derivatives second fundamental form Sobolev inequalities solution spacelike structure equations Subsection sufficiently small tensor field Theorem Ml traceless trxtrx two.dimensional surfaces Weyl tensor