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Phys. Rev. D 52, 4512–4517 (1995)

Entanglement entropy in curved spacetimes with event horizons

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Rainer Müller
Sektion Physik der Universität München, Theresienstrasse 37, D-80333 München, Germany

Carlos O. Lousto
Institut de Física d’Altes Energies–Grupo de Física Teórica,Universidad Autónoma de Barcelona, E-08193 Bellaterra, Spain

Received 26 April 1995; published in the issue dated 15 October 1995

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=0.30rH2/a2, which resembles the flat space formula, although here the horizon radius rH is time dependent.

© 1995 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.52.4512
DOI:
10.1103/PhysRevD.52.4512
PACS:
04.62.+v, 04.70.Dy, 11.55.Bq