THE CLIFFORD BUNDLE AND THE NATURE OF THE GRAVITATIONAL-FIELD

Citation
Wa. Rodrigues et Qag. Desouza, THE CLIFFORD BUNDLE AND THE NATURE OF THE GRAVITATIONAL-FIELD, Foundations of physics, 23(11), 1993, pp. 1465-1490
Citations number
50
Categorie Soggetti
Physics
Journal title
ISSN journal
00159018
Volume
23
Issue
11
Year of publication
1993
Pages
1465 - 1490
Database
ISI
SICI code
0015-9018(1993)23:11<1465:TCBATN>2.0.ZU;2-C
Abstract
In this paper we formulate Einstein's gravitational theory with the Cl ifford bundle formalism. The formalism suggests interpreting the gravi tational field in the sense of Faraday, i.e., with the field residing in Minkowski spacetime. We succeeded in discovering the condition for this interpretation to hold. For the variables that play the role of t he gravitational field in our theory, the Lagrangian density turns out to be of the Yang-Mills type (with an auto-interaction plus gauge-fix ing terms). We give a brief comparison of our theory with other field theories of the gravitational field in the flat Minkowski spacetime.