Some Applications of the ADM Formalism

Details Some Applications of the ADM Formalism Some Applications of the ADM Formalism

2004-08-25

arxiv.org/abs/gr-qc/0408083v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, 1 figure, to appear in Deserfest: A celebration of the life and works of Stanley Deser, Ann Arbor, Michigan, April 2

Scientific paper

The ADM Formalism is discussed in the context of 2+1--dimensional gravity, uniting two areas of relativity theory in which Stanley Deser has been particularly active. For spacetimes with topology R x T^2 the partially reduced and fully reduced ADM formalism are related and quantized, and the role of "large diffeomorphisms" (the modular group) in the quantum theory is illustrated.

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