Chapter

Hamiltonian formulation of general relativity

Claus Kiefer

in Quantum Gravity

Published in print April 2012 | ISBN: 9780199585205
Published online May 2012 | e-ISBN: 9780191739378 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780199585205.003.0004

Series: International Series of Monographs on Physics

Hamiltonian formulation of general relativity

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This chapter, although dealing entirely with classical physics, prepares the ground for the following chapters by developing in full detail the Hamiltonian, or canonical, formulation of general relativity, also called 3+1 decomposition. This is achieved by a decomposition of four-dimenensional spacetime into a foliation of spacelike hypersurfaces. Special attention is devoted to open spaces and the structure of the configuration space. The canonical formalism is presented for metric, connection, and loop variables.

Keywords: Canonical gravity; 3+1 formulation; Hamiltonian formalism; superspace; loops

Chapter.  17825 words.  Illustrated.

Subjects: Mathematical and Statistical Physics

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