Gravity and BF theory defined in bounded regions

Preprint

2 April 1997

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.gr-qc/9703043

Abstract

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.

Keywords

SURFACE OBSERVABLES
EINSTEIN GRAVITY
BOUNDED REGIONS
STUDY EINSTEIN
THEORY DEFINED
BF THEORY
GRAVITY
ALGEBRA

All Related Versions

Version 1, 1997-03-17, ArXiv
Version 2, 1997-04-02, ArXiv
Published version: Nuclear Physics B, 500 (1-3), 381.

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