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1995
DOI: 10.1103/physrevd.52.4512
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Entanglement entropy in curved spacetimes with event horizons

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 = 0.30r 2 H /a 2 , which resembles the flat space formula, although here the horizon radius, r H , is time… Show more

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Cited by 63 publications
(114 citation statements)
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References 24 publications
(46 reference statements)
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“…Now, since there will always exist a nonzero contribution for nucleation of pairs of baby universes it follows that the Coleman mechanism for the big fix [8] becomes consistent [9,10]. We finally point out that the quantum-mechanical entanglement energy for a single universe should be interpreted in terms of the existence of a future event horizon, which is granted for any model of the current accelerating universe, where entanglement is established between the two independent spacetime regions created by that horizon [11].…”
Section: Conclusion and Further Commentsmentioning
confidence: 99%
“…Now, since there will always exist a nonzero contribution for nucleation of pairs of baby universes it follows that the Coleman mechanism for the big fix [8] becomes consistent [9,10]. We finally point out that the quantum-mechanical entanglement energy for a single universe should be interpreted in terms of the existence of a future event horizon, which is granted for any model of the current accelerating universe, where entanglement is established between the two independent spacetime regions created by that horizon [11].…”
Section: Conclusion and Further Commentsmentioning
confidence: 99%
“…Having said this note by extention [7] is presented toward the end of this manuscript as a partial resolution of some of the pathologies brought up in this article before the entanglement entropy section. No matter how small the length gets, entropy S if it is entanglement entropy, will not go to zero.…”
Section: H G H a ρ − ⇔ ≈mentioning
confidence: 99%
“…Here also, from [1] we have an energy expression from (5) above, as well as employing the string theory result of ( )…”
Section: Construction Of Temperature Quenching Preliminary Argumentmentioning
confidence: 99%
“…Note that [1] has an alternative expression for the early universe which can be written as, if a is the scale factor, of radii H r for a horizon radius, with…”
Section: Construction Of Temperature Quenching Preliminary Argumentmentioning
confidence: 99%
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