Canonical general relativity: The diffeomorphism constraints and spatial frame transformations
نویسندگان
چکیده
منابع مشابه
Canonical General Relativity: the Diffeomorphism Constraints and Spatial Frame Transformations
Einstein’s general relativity with both metric and vielbein treated as independent fields is considered, demonstrating the existence of a consistent variational principle and deriving a Hamiltonian formalism that treats the spatial metric and spatial vielbein as canonical coordinates. This results in a Hamiltonian in standard form that consists of Hamiltonian and momentum constraints as well as...
متن کاملCern–th/97–168 Canonical General Relativity: the Diffeomorphism Constraints and Spatial Frame Transformations
Abstract. The constraint algebra derived in [4] is generated explicitly from a formulation of general relativity in which both the metric and vielbein are independent degrees of freedom. The standard form of the Hamiltonian is composed of the Hamiltonian and momentum constraints, as well as constraints that generate spatial frame transformations; all appearing as primary, first class constraint...
متن کاملCERN–TH/97–168 gr-qc/9707039 CANONICAL GENERAL RELATIVITY: THE DIFFEOMORPHISM CONSTRAINTS AND SPATIAL FRAME TRANSFORMATIONS
Einstein’s general relativity with both metric and vielbein treated as independent fields is considered, demonstrating the existence of a consistent variational principle and deriving a Hamiltonian formalism that treats the spatial metric and spatial vielbein as canonical coordinates. This results in a Hamiltonian in standard form that consists of Hamiltonian and momentum constraints as well as...
متن کاملNew constraints for canonical general relativity
Ashtekar’s canonical theory of classical complex Euclidean GR (no Lorentzian reality conditions) is found to be invariant under the full algebra of infinitesimal 4-diffeomorphisms, but non-invariant under some finite proper 4-diffeos when the densitized dreibein, Ẽ i , is degenerate. The breakdown of 4-diffeo invariance appears to be due to the inability of the Ashtekar Hamiltonian to generate ...
متن کاملThe Momentum Constraints of General Relativity and Spatial Conformal Isometries
Transverse–tracefree (TT–) tensors on (R, gab), with gab an asymptotically flat metric of fast decay at infinity, are studied. When the source tensor from which these TT tensors are constructed has fast fall–off at infinity, TT tensors allow a multipole–type expansion. When gab has no conformal Killing vectors (CKV’s) it is proven that any finite but otherwise arbitrary set of moments can be re...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 1998
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.532469