Towards canonical quantum gravity for 3+1 geometries admitting maximally symmetric two-dimensional surfaces

DOI10.1088/0264-9381/27/14/145018zbMATH Open1195.83036arXiv0901.4910OpenAlexW1980268644MaRDI QIDQ3581369

Author name not available (Why is that?)

Publication date: 16 August 2010

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

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 {�f Assumption} and an accompanying {�f 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 {�f Requirement} and contained in the third functional.

Full work available at URL: https://arxiv.org/abs/0901.4910

zbMATH Keywords

cosmologyquantization of the gravitational field

Mathematics Subject Classification ID

Quantization of the gravitational field (83C45) Renormalization group methods applied to problems in quantum field theory (81T17) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05)

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