On quasi-local Hamiltonians in General Relativity

Details On quasi-local Hamiltonians in General Relativity On quasi-local Hamiltonians in General Relativity

2010-08-25

arxiv.org/abs/1008.4309v1

Phys.Rev.D82:084044,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages

Scientific paper

10.1103/PhysRevD.82.084044

We analyse the definition of quasi-local energy in GR based on a Hamiltonian analysis of the Einstein-Hilbert action initiated by Brown-York. The role of the constraint equations, in particular the Hamiltonian constraint on the timelike boundary, neglected in previous studies, is emphasized here. We argue that a consistent definition of quasi-local energy in GR requires, at a minimum, a framework based on the (currently unknown) geometric well-posedness of the initial boundary value problem for the Einstein equations.

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