GLOBAL RESULTS FOR THE RARITA-SCHWINGER EQUATIONS ON ASYMPTOTICALLY FLAT VACUUM SPACE-TIMES

Authors
MASON L NICOLAS JP
Citation
L. Mason et Jp. Nicolas, GLOBAL RESULTS FOR THE RARITA-SCHWINGER EQUATIONS ON ASYMPTOTICALLY FLAT VACUUM SPACE-TIMES, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 327(8), 1998, pp. 743-748
Citations number
16
Categorie Soggetti
Mathematics,Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
327
Issue
8
Year of publication
1998
Pages
743 - 748
Database
ISI
SICI code
0764-4442(1998)327:8<743:GRFTRE>2.0.ZU;2-L
Abstract
We study the Rarita-Schwinger equations on globally hyperbolic asympto tically flat vacuum space-times. We use a gauge firing that guarantees the positive definiteness of the conserved quantity at each time. Thi s leads to a straightforward Hilbert space framework in which we solve the global Cauchy problem. Applications to the analysis of the full E instein vacuum equations are briefly discussed. (C) Academie des Scien ces/Elsevier, Paris.