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Quantum GravityThird Edition$
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Claus Kiefer

Print publication date: 2012

Print ISBN-13: 9780199585205

Published to Oxford Scholarship Online: May 2012

DOI: 10.1093/acprof:oso/9780199585205.001.0001

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Hamiltonian formulation of general relativity

Hamiltonian formulation of general relativity

Chapter:
(p.106) 4 Hamiltonian formulation of general relativity
Source:
Quantum Gravity
Author(s):

Claus Kiefer

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199585205.003.0004

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

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