Entanglement entropy in curved spacetimes with event horizons
Rainer Mueller, Carlos O. Lousto
Abstract
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 a. 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 Sent=0.30 rH2/a2,which resembles the flat space formula, although here the horizon radius, rH, is time-dependent.
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