Entanglement entropy in curved spacetimes with event horizons

Rainer Mueller; Carlos O. Lousto

doi:10.1103/PhysRevD.52.4512

Entanglement entropy in curved spacetimes with event horizons

General Relativity and Quantum Cosmology 2009-10-28 v1 Astrophysics High Energy Physics - Theory

Authors: Rainer Mueller , Carlos O. Lousto

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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 $S_{ent}=0.30 r_H^2/a^2$ ,which resembles the flat space formula, although here the horizon radius, $r_H$ , is time-dependent.

Keywords

entanglement entropy event horizons curved spacetimes Hamiltonian approach Friedmann-Robertson-Walker universe scalar field

Cite

@article{arxiv.gr-qc/9504049,
  title  = {Entanglement entropy in curved spacetimes with event horizons},
  author = {Rainer Mueller and Carlos O. Lousto},
  journal= {arXiv preprint arXiv:gr-qc/9504049},
  year   = {2009}
}

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12 pages, RevTex 3.0, 2 figures as uuencoded compressed Postscript files

Entanglement entropy in curved spacetimes with event horizons

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