A Simple Derivation of Canonical Structure and Quasi-local Hamiltonians in General Relativity

Details A Simple Derivation of Canonical Structure and Quasi-local Hamiltonians in General Relativity A Simple Derivation of Canonical Structure and Quasi-local Hamiltonians in General Relativity

Mar 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997gregr..29..307k&link_type=abstract

General Relativity and Gravitation, Vol. 29, p. 307-343 (1997)

Physics

64

Scientific paper

A new method of variation of the gravitational Lagrangian is proposed. This method leads in a simple and straightforward way to the canonical description of the gravitational field dynamics in a finite volume V with boundary. No boundary terms are neglected or subtracted ad hoc. Two different forms of gravitational quasi-local energy are derived. Each of them is equal to the field Hamiltonian, corresponding to a specific way of controlling the field boundary data. They play the role of the ``internal energy'' and the ``free energy'' respectively. A relation with the boundary formula governing the thermodynamics of black holes is discussed.

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