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arXiv · 0901.4910

Towards Canonical Quantum Gravity for Geometries Admitting Maximally Symmetric Two-dimensional Surfaces

T. Christodoulakis·G. Doulis·Petros A. Terzis·E. Melas·Th. Grammenos·G. O. Papadopoulos·A. Spanou
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Abstract

The 3+1 (canonical) decomposition of all geometries admitting two-dimensional space-like surfaces is exhibited. A proposal consisting of a specific re-normalization {\bf Assumption} and an accompanying {\bf Requirement} is put forward, which enables the canonical quantization of these geometries. The resulting Wheeler-deWitt equation is based on a re-normalized manifold parameterized by three smooth scalar functionals. The entire space of solutions to this equation is analytically given, exploiting the freedom left by the imposition of the {\bf Requirement} and contained in the third functional.

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T. Christodoulakis, G. Doulis, Petros A. Terzis, E. Melas, Th. Grammenos, G. O. Papadopoulos, A. Spanou. 2009-01-30. Towards Canonical Quantum Gravity for Geometries Admitting Maximally Symmetric Two-dimensional Surfaces. https://doi.org/10.1088/0264-9381%2F27%2F14%2F145018

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