R. Muller et Co. Lousto, ENTANGLEMENT ENTROPY IN CURVED SPACETIMES WITH EVENT HORIZONS, Physical review. D. Particles and fields, 52(8), 1995, pp. 4512-4517
We consider the computation of the entanglement entropy in curved back
grounds with event horizons. We use a Hamiltonian approach to the prob
lem and perform numerical computations on a spherical lattice of spaci
ng a. We study the cosmological case and make explicit computations fo
r the Friedmann-Robertson-Walker universe. Our results for a massless,
minimally coupled scalar field can be summarized by S-ent = 0.30r(H)(
2)/a(2), which resembles the flat space formula, although here the hor
izon radius tau(H) is time dependent.