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- W2117020937 abstract "In this paper we provide a prescription for solving the initial value constraints of GR for algebraically general spacetimes in the polar representation. The prescription uses the Ashtekar magnetic field and two eigenvalues of the CDJ matrix as inputs, and provides as an output the SO(3,C) frame solving the Gauss’ law constraint, in the form of a triplet of SO(3,C) angles. The two eigenvalues are the physical degrees of freedom, which fix the third eigenvalue through the diffeomorphism and Hamiltonian constraints. We provide two fixed point iteration procedures for determining the angles, as well as an analysis of the algebraically special cases." @default.
- W2117020937 created "2016-06-24" @default.
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- W2117020937 date "2010-01-01" @default.
- W2117020937 modified "2023-09-27" @default.
- W2117020937 title "Instanton representation of Plebanski gravity. VIII: Initial value and Gauss' law constraints in polar form." @default.
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