Gravitational fields and nonlinear sigma-models

Authors
Cortez, J Nunez, D Quevedo, H
Citation
J. Cortez et al., Gravitational fields and nonlinear sigma-models, INT J THEOR, 40(1), 2001, pp. 251-260
Citations number
24
Categorie Soggetti
Physics
Journal title
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
ISSN journal
00207748 → ACNP
Volume
40
Issue
1
Year of publication
2001
Pages
251 - 260
Database
ISI
SICI code
0020-7748(200101)40:1<251:GFANS>2.0.ZU;2-T
Abstract
It is shown that different types of gravitational fields can be analyzed as nonlinear sigma -models. We show that the Einstein-Hilbert action for stat ionary aximmetric fields, Einstein-Rosen gravitational wave, and Gowdy cosm ological models can be expressed in terms of a Lagrangian density for the S L(2, R)/SO(2) sigma -model. We discuss the possibility of using these resul ts to quantize gravitational fields.