TL;DR
This paper demonstrates that Ashtekar's variables can be derived directly from a 3+1 split of Einstein-Cartan gravity, eliminating the need for spinors in the formulation.
Contribution
It presents a novel derivation of Ashtekar's variables without involving spinors, simplifying the mathematical framework of general relativity.
Findings
Ashtekar's variables emerge naturally from Einstein-Cartan theory
Spinors are unnecessary in deriving Ashtekar's variables
Simplifies the mathematical structure of canonical gravity
Abstract
Ashtekar's variables are shown to arise naturally from a 3+1 split of general relativity in the Einstein-Cartan formulation. Thereby spinors are exorcised.
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Taxonomy
TopicsComputational Physics and Python Applications