Hostname: page-component-586b7cd67f-r5fsc Total loading time: 0 Render date: 2024-11-23T01:29:43.760Z Has data issue: false hasContentIssue false
  • English
  • Français

GLOBAL RESULTS FOR THE RARITA–SCHWINGER EQUATIONS AND EINSTEIN VACUUM EQUATIONS

Published online by Cambridge University Press:  01 November 1999

L. J. MASON  and
J. P. NICOLAS
L. J. MASON
Affiliation:
The Mathematical Institute, 24–29 St Giles', Oxford OX1 3LB, email: [email protected]
J. P. NICOLAS
Affiliation:
Institut de Mathématiques M.A.B. Université Bordeaux 1 351 Cours de la Libération 33405 Talence cedex France, email: [email protected]
Get access

Abstract

We prove global existence and uniqueness of solutions to the Rarita-Schwinger evolution equations compatible with the constraints. We use a gauge fixing for the Rarita-Schwinger equations for helicity 3/2 fields in curved space that leads to a straightforward Hilbert space framework for their study. We explain how these results might be applied to the global analysis of the full Einstein vacuum equations and provide a complete analysis as a basis for such applications. These and a programme for developing a scattering/inverse scattering transform for the full Einstein equations are discussed.

1991 Mathematics Subject Classification: 83C60, 35Q75, 83C05, 35L45.

Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 79 , Issue 3 , November 1999 , pp. 694 - 720
Copyright
1999 London Mathematical Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)