Solving the Constraints of General Relativity

Details Solving the Constraints of General Relativity Solving the Constraints of General Relativity

1994-11-07

arxiv.org/abs/gr-qc/9411016v1

Class.Quant.Grav.12:L5-L10,1995

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, LATEX, no figures, Preprint CGPG-94/11-3

Scientific paper

10.1088/0264-9381/12/2/001

I show in this letter that it is possible to solve some of the constraints of the $SO(3)$-ADM formalism for general relativity by using an approach similar to the one introduced by Capovilla, Dell and Jacobson to solve the vector and scalar constraints in the Ashtekar variables framework. I discuss the advantages of using the ADM formalism and compare the result with similar proposals for different Hamiltonian formulations of general relativity.

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