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Massive islands
Abstract
A bstract: We comment on the role of the graviton mass in recent calculations of the Page curve using holographic ideas. All reliable calculations of the Page curve in more than 2+1 spacetime dimensions have been performed in systems with massive gravitons. A crucial ingredient in these calculations is the formation of islands, regions that contribute to the entropy of degrees of freedom located elsewhere. While most often simply ignored, it is indeed true that mass of the graviton does not appear to significantly affect the calculations that appeared in the literature. We use the freedom to change the graviton mass to give an extremely simple model of analytically tractable island formation in general dimensions. We do however note that if one attempts to take the limit of zero graviton mass, any contribution from the islands disappears. This raises the question to what extent entanglement islands can play a role in standard massless gravity.
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All 3+1-dimensional braneworld models that have been explored and exhibit island formation are described by massive gravity theories; islands disappear in the limit the graviton on the brane becomes massless.
“Notably, thus far, all 3 + 1-dimensional braneworld models that have been explored and exhibit island formation are described by massive gravity theories; islands disappear in the limit the graviton on the brane becomes massless [267] (see, e.g., [268] for a review).”
From Three-Dimensional Quantum Black Holes: A Primer (2024) · cites this paper as [267]
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BackgroundMethodInfluentialReplica wormholes and the entropy of Hawking radiation
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Metadata
- Authors
- Geng, H., & Karch, A.
- Venue
- Journal of High Energy Physics
- Published
- 2020-09
- Volume
- 2020
- Issue
- 9
- ISSN
- 1029-8479
- Cited by
- 251
- References
- 6
- Language
- en
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