Instanton representation of Plebanski gravity: IX. Hamiltonian minisuperspace dynamics in undensitized momentum space variables

Details Instanton representation of Plebanski gravity: IX. Hamiltonian minisuperspace dynamics in undensitized momentum space variables Instanton representation of Plebanski gravity: IX. Hamiltonian minisuperspace dynamics in undensitized momentum space variables

2007-07-03

arxiv.org/abs/0707.0452v5

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages. Background material for revised journal article

Scientific paper

In this paper we illustrate the dynamics of the instanton representation in the description of vacuum GR in minisuperspace for undensitized variables. We uncover a new class of general solutions in both the degenerate and the nondegenerate sectors of the theory. Additionally, the individual sectors are preserved under Hamiltonian evolution. Finally, we present an algorithm for constructing general solutions by expansion about the isotropic sector.

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