Gravity and BF theory defined in bounded regions

Details Gravity and BF theory defined in bounded regions Gravity and BF theory defined in bounded regions

1997-03-17

arxiv.org/abs/gr-qc/9703043v2

Nucl.Phys. B500 (1997) 381-401

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

References added

Scientific paper

10.1016/S0550-3213(97)00371-4

We study Einstein gravity in a finite spatial region. By requiring a well-defined variational principle, we identify all local boundary conditions, derive surface observables, and compute their algebra. The observables arise as induced surface terms, which contribute to a non-vanishing Hamiltonian. Unlike the asymptotically flat case, we find that there are an infinite number of surface observables. We give a similar analysis for SU(2) BF theory.

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