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It is shown that a spontaneously-broken gauge theory of the Lorentz group contains Ashtekar's chiral formulation of General Relativity accompanied by dust.
Lorentz invariance and the gravitational field
T. W. B. Kibble · 1961
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Unified Geometric Theory of Gravity and Supergravity
S. W. MacDowell and F. Mansouri · 1977
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Spontaneously Broken De Sitter Symmetry and the Gravitational Holonomy Group
K. S. Stelle and Peter C. West · 1980
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New Variables for Classical and Quantum Gravity
A. Ashtekar · 1986
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New Variables for Gravity: Inclusion of Matter
Abhay Ashtekar, Joseph D. Romano, and Ranjeet S. Tate · 1989
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Geometrodynamics versus connection dynamics (in the context of (2+1) and (3+1) gravity
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