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. (C) 1997 Elsevier Science B.V.
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Univ Calif Los Angeles, Mani L Bhaumik Inst Theoret Phys, Los Angeles, CA 90095 USAUniv Calif Los Angeles, Mani L Bhaumik Inst Theoret Phys, Los Angeles, CA 90095 USA
Ebert, Stephen
Ferko, Christian
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Univ Calif Davis, Ctr Quantum Math & Phys QMAP, Dept Phys & Astron, Davis, CA 95616 USAUniv Calif Los Angeles, Mani L Bhaumik Inst Theoret Phys, Los Angeles, CA 90095 USA
Ferko, Christian
Sun, Hao-Yu
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Univ Texas Austin, Dept Phys, Theory Grp, Austin, TX 78712 USAUniv Calif Los Angeles, Mani L Bhaumik Inst Theoret Phys, Los Angeles, CA 90095 USA
Sun, Hao-Yu
Sun, Zhengdi
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Univ Calif San Diego, Dept Phys, San Diego, CA 92093 USAUniv Calif Los Angeles, Mani L Bhaumik Inst Theoret Phys, Los Angeles, CA 90095 USA
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Inst Politecn Nacl, CINVESTAV, Dept Fis, 2508 San Pedro Zacatenco, Ciudad De Mexico 07360, MexicoInst Politecn Nacl, CINVESTAV, Dept Fis, 2508 San Pedro Zacatenco, Ciudad De Mexico 07360, Mexico
Celada, Mariano
Gonzalez, Diego
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Inst Politecn Nacl, CINVESTAV, Dept Fis, 2508 San Pedro Zacatenco, Ciudad De Mexico 07360, MexicoInst Politecn Nacl, CINVESTAV, Dept Fis, 2508 San Pedro Zacatenco, Ciudad De Mexico 07360, Mexico
Gonzalez, Diego
Montesinos, Merced
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Inst Politecn Nacl, CINVESTAV, Dept Fis, 2508 San Pedro Zacatenco, Ciudad De Mexico 07360, Mexico
Benemerita Univ Autonoma Puebla, Inst Ciencias, Dept Matemat, Ciudad Univ, Puebla 72572, MexicoInst Politecn Nacl, CINVESTAV, Dept Fis, 2508 San Pedro Zacatenco, Ciudad De Mexico 07360, Mexico