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Entanglement entropy in curved spacetimes with event horizons

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.

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BibTeXRIS

Rainer Mueller, Carlos O. Lousto. 1995-04-28. Entanglement entropy in curved spacetimes with event horizons. https://doi.org/10.1103/physrevd.52.4512

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