Black hole entropy as entanglement entropy: A Holographic derivation
By Roberto Emparan. 2006
139 citations recorded by the source corpus.
We study the possibility that black hole entropy be identified as entropy of entanglement across the horizon of the vacuum of a quantum field in the presence of the black hole. We argue that a recent proposal for computing entanglement entropy using AdS/CFT holography implies that black hole entropy can be exactly equated with entanglement entropy. The implementation of entanglement entropy in this context solves all the problems (such as cutoff dependence and the species problem) typically associated with this identification.
Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/16a2e4dfcb732ae50dbe12da7f3cdacbb228baf8
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Citations in the corpus
- Quantum extremal islands made easy. Part I. Entanglement on the brane (2020, background): “, see [56, 63, 64].”
- Holographic entanglement entropy: an overview (2009, background): “Also the area law of SA [9, 10] can be automatically derived from our holographic description.”
- Entanglement Entropy of Black Holes (2011, methodology): “In [83] it was applied to the entropy of a black hole residing on the 2-brane in the 4d solution of [84].”
- Aspects of Holographic Entanglement Entropy (2006, methodology): “Indeed, the connection between this relation and our proposal has been found recently in [13] by employing the brane-world setup instead of AdS backgrounds.”
- Black Holes, Qubits and Octonions (2008, background): “In particular, as far as we can tell our analogy is unconnected with the work of [206, 207, 208, 209, 210, 211, 212] relating black holes and entanglement entropy in field theory.”
- A covariant holographic entanglement entropy proposal (2007, methodology): “Moreover, this holographic relation is successfully applied to the brane-world black holes [28, 29] and de-Sitter spaces [30] as well, which enable us to interpret the horizon entropy with quantum corrections as the entanglement entropy (see also recent discussions [31, 32, 33]).”
- Causal holographic information (2012, methodology): “We can either imagine this in the brane-world context, where we have induced gravity coupled to the field theory as discussed in [31], or simply let the black hole be a rigid gravitational background for the field theory as described for instance in [32].”
- A Holographic View on Physics out of Equilibrium (2010, background): “Hence (57)Further evidence of the entanglement entropy providing a measure of the active degrees of freedom is provided in [215] in the context of induced gravity (brane-world) models.”
- Information Transfer with a Gravitating Bath (2020, background): “13 Such behavior would be consistent with the claim that gravity in a KR braneworld is purely induced by matter effects [56].”
- Proof of the holographic formula for entanglement entropy (2006, methodology): “ence [8]–[10] and provided some examples in its support. The analysis of [6], [7] was restricted by static problems and B˜ was assumed to be a static minimal surface in a Lorenzian AdS background. In [11] equation (1.3) was used to argue that the entropy of a black hole in a braneworld model in thre”
- AdS/CFT and strong subadditivity of entanglement entropy (2006, methodology): “This relation has been successfully applied to black holes in brane-world [6][7] and de-Sitter spaces [8] (refer to [9] and [10] for earlier discussions).”
- Entanglement entropy from a holographic viewpoint (2012, background): “For applications of holographic entanglement entropy to brane-world setups refer to [170, 171, 172] (see also [173]), which was pioneered by [19].”
- On the architecture of spacetime geometry (2012, background): “Furthermore, various simplified models of induced gravity also illustrated this point [18, 27, 28].”