CONSTANTS OF MOTION FOR VACUUM GENERAL-RELATIVITY

Authors
Citation
V. Husain, CONSTANTS OF MOTION FOR VACUUM GENERAL-RELATIVITY, Physical review. D. Particles and fields, 56(4), 1997, pp. 1831-1835
Citations number
25
Categorie Soggetti
Physics, Particles & Fields
ISSN journal
05562821
Volume
56
Issue
4
Year of publication
1997
Pages
1831 - 1835
Database
ISI
SICI code
0556-2821(1997)56:4<1831:COMFVG>2.0.ZU;2-7
Abstract
The 3+1 Hamiltonian Einstein equations, reduced by imposing two commut ing spacelike Killing vector fields, may be written as the equations o f the SL(2,R) principal chiral model with certain ''source'' terms. Us ing this formulation, we give a procedure for generating an infinite n umber of nonlocal constants of motion for this sector of the Einstein equations. The constants of motion arise as explicit functionals on th e phase space of Einstein gravity, and are labeled by s1(2,R) indices.