2-form geometry and the 't Hooft-Plebanski action
Open Access
- 1 July 1995
- journal article
- Published by IOP Publishing in Classical and Quantum Gravity
- Vol. 12 (7) , 1581-1590
- https://doi.org/10.1088/0264-9381/12/7/004
Abstract
Riemannian geometry in four dimensions, including Einstein's equations, can be described by means of a connection that annihilates a triad of 2-forms (rather than a tetrad of vector fields). Our treatment of the conformal factor of the metric differs from the original presentation of this result (due to 't Hooft). In the action the conformal factor now appears as a field to be varied.Keywords
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This publication has 15 references indexed in Scilit:
- Three dimensional Yang-Mills theory in gauge invariant variablesPhysics Letters B, 1992
- The bivector Clifford algebra and the geometry of Hodge dual operatorsJournal of Physics A: General Physics, 1992
- Legendre transforms in Ashtekar's theory of gravityClassical and Quantum Gravity, 1991
- A chiral alternative to the vierbein field in general relativityNuclear Physics B, 1991
- GL(3)-invariant gravity without metricClassical and Quantum Gravity, 1991
- Self-dual 2-forms and gravityClassical and Quantum Gravity, 1991
- Palatini formalism and new canonical variables for GL(4)-invariant gravityClassical and Quantum Gravity, 1990
- General relativity without the metricPhysical Review Letters, 1989
- Quasiconformal 4-manifoldsActa Mathematica, 1989
- Electrodynamics in the general relativity theoryTransactions of the American Mathematical Society, 1925