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Canonical quantization of some midi-superspace models in 2+1 and 3+1 dimensions

T Christodoulakis1, G Doulis1, P A Terzis1, E Melas2, T H Grammenos3, G O Papadopoulos4 and A Spanou5

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A proposal is put forward which enables the canonical quantization of a family of axially symmetric geometries in 2+1 dimensions and a corresponding spherically symmetric family 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 both the 2+1 and 3+1 case.


PACS

04.60.Ds Canonical quantization

02.40.-k Geometry, differential geometry, and topology

Subjects

Mathematical physics

Gravitation and cosmology

Dates

Issue 1 (2009)



  1. Canonical quantization of some midi-superspace models in 2+1 and 3+1 dimensions

    T Christodoulakis et al 2009 J. Phys.: Conf. Ser. 189 012008

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