Published April 1, 2010 | Version v1
Journal article

Canonical quantization of some midi-superspace models in 3+1 dimensions

  • 1. Nuclear and Particle Physics Section, Physics Department, University of Athens, GR 157-71 Athens (Greece)
  • 2. Technological Educational Institution of Lamia, Electrical Engineering Department, GR 35-100, Lamia (Greece)
  • 3. Department of Civil Engineering, University of Thessaly, GR 383-34 Volos (Greece)
  • 4. Department of Mathematics and Statistics, Dalhousie University, Halifax, Nova Scotia, B3H 3J5 (Canada)
  • 5. School of Applied Mathematics and Physical Sciences, National Technical University of Athens, GR 157-80, Athens (Greece)

Description

A proposal is put forward which enables the canonical quantization of a family of spherically symmetric geometries in 3+1 dimensions. The proposal consists of a particular renormalization Assumption and an accompanying Requirement and results in a Wheeler- DeWitt equation which is based on a renormalized manifold parametrized by three smooth scalar functionals. The aforementioned equation is analytically solved for the 3+1 case.

Availability note (English)

Available from http://dx.doi.org/10.1088/1742-6596/222/1/012045

Additional details

Publishing Information

Journal Title
Journal of Physics. Conference Series (Online)
Journal Volume
222
Journal Issue
1
Journal Page Range
[18 p.]
ISSN
1742-6596

Conference

Title
1. Mediterranean conference on classical and quantum gravity
Acronym
MCCQG 2009
Dates
14-18 Sep 2009
Place
Crete (Greece)

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
42044630
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Resource subtype / Literary indicator
Conference
Descriptors DEI
EQUATIONS; FOUR-DIMENSIONAL CALCULATIONS; FUNCTIONALS; QUANTIZATION; RENORMALIZATION; SIMULATION; SYMMETRY
Descriptors DEC
FUNCTIONS