Main articles: Frame fields in general relativity, spin connection, and Self-dual Palatini action
In the ADM formulation of general relativity, spacetime is split into spatial slices and a time axis. The basic variables are taken to be the induced metric on the spatial slice and the metric's conjugate momentum , which is related to the extrinsic curvature and is a measure of how the induced metric evolves in time.[1] These are the metric canonical coordinates.
In 1986 Abhay Ashtekar introduced a new set of canonical variables, Ashtekar (new) variables to represent an unusual way of rewriting the metric canonical variables on the three-dimensional spatial slices in terms of an SU(2) gauge field and its complementary variable.[2]
^Gravitation by Charles W. Misner, Kip S. Thorne, John Archibald Wheeler, published by W. H. Freeman and company. New York.
^Ashtekar, A (1986). "New variables for classical and quantum gravity". Physical Review Letters. 57 (18): 2244–2247. Bibcode:1986PhRvL..57.2244A. doi:10.1103/physrevlett.57.2244. PMID 10033673.
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Abhay Vasant Ashtekar (born 5 July 1949) is an Indian theoretical physicist who created Ashtekarvariables and is one of the founders of loop quantum...
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Abhay Ashtekar introduced a new set of canonical variables, Ashtekarvariables to represent an unusual way of rewriting the metric canonical variables on...
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frame (called a vierbein) at each point. So these variable became what we know as Ashtekarvariables, a particular flavor of Einstein–Cartan theory with...
and water in the process. Ashtekarvariables – In theoretical physics, Ashtekar (new) variables, named after Abhay Ashtekar who invented them, represent...
Alcubierre drives), Richard L. Arnowitt (ADM formalism), Abhay Ashtekar (Ashtekarvariables, dynamical horizons) Robert M L Baker, Jr. (high-frequency gravitational...
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Swedish Nobel Prize winner. Abhay Ashtekar (1949–): Indian theoretical physicist. As the creator of Ashtekarvariables, he is one of the founders of loop...
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two-sheeted covering SL(2, C) of the restricted Lorentz group, SO+(1, 3). Ashtekarvariables Metric-affine gravitation theory Einstein–Cartan theory Spontaneous...
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action with α = i {\displaystyle \alpha =i} happens to correspond to Ashtekarvariables which formulates (complex) GR as a special type of Yang-Mills gauge...
discovered in February 2006 for isotropic and homogeneous models by Abhay Ashtekar, Tomasz Pawlowski, and Parampreet Singh at Pennsylvania State University...
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