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Entanglement entropy in curved spacetimes with event horizons
We consider the computation of the entanglement entropy in curved backgrounds
with event horizons. We use a Hamiltonian approach to the problem and perform
numerical computations on a spherical lattice of spacing . We study the
cosmological case and make explicit computations for the
Friedmann-Robertson-Walker universe. Our results for a massless, minimally
coupled scalar field can be summarized by ,which
resembles the flat space formula, although here the horizon radius, , is
time-dependent.Comment: 12 pages, RevTex 3.0, 2 figures as uuencoded compressed Postscript
file