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Black holes in dS3

Emparan, Roberto, Pedraza, Juan F., Svesko, Andrew, Tomašević, Marija, Visser, Manus R.·2022·Journal of High Energy Physics
DOI 10.1007/jhep11(2022)073
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Abstract

A bstract: In three-dimensional de Sitter space classical black holes do not exist, and the Schwarzschild-de Sitter solution instead describes a conical defect with a single cosmological horizon. We argue that the quantum backreaction of conformal fields can generate a black hole horizon, leading to a three-dimensional quantum de Sitter black hole. Its size can be as large as the cosmological horizon in a Nariai-type limit. We show explicitly how these solutions arise using braneworld holography, but also compare to a non-holographic, perturbative analysis of backreaction due to conformally coupled scalar fields in conical de Sitter space. We analyze the thermodynamics of this quantum black hole, revealing it behaves similarly to its classical four-dimensional counterpart, where the generalized entropy replaces the classical Bekenstein-Hawking entropy. We compute entropy deficits due to nucleating the three-dimensional black hole and revisit arguments for a possible matrix model description of dS spacetimes. Finally, we comment on the holographic dual description for dS spacetimes as seen from the braneworld perspective.

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  • The A→∞ limit of the C-metric with a de Sitter slicing on the x=0 hypersurface is a double-Wick rotation of the hyperbolic AdS4 metric.

    “Note that the A → ∞ limit of the C-metric with a de Sitter slicing on the x = 0 hypersurface is a double-Wick rotation of the hyperbolic AdS 4 metric (see Appendix C of [26] for details).”

    From Three-Dimensional Quantum Black Holes: A Primer (2024) · cites this paper as [26]

  • A notion of double holography was proposed in a Randall-Sundrum set-up, where the analog of defect CFT_{d-1} is given by two Euclidean CFTs, disconnected from the boundary viewpoint.

    “A notion of double holography was proposed in a Randall-Sundrum set-up[26], where the analog of defect CFT d-1 is given by two Euclidean CFTs, disconnected from the boundary viewpoint.”

    From Three-Dimensional Quantum Black Holes: A Primer (2024) · cites this paper as [26]

  • In the context of the AdS4 C-metric, the four-dimensional geometry has a Nariai limit that induces a Nariai geometry on the brane at x = 0.

    “In the context of the AdS 4 C-metric, the four-dimensional geometry has a Nariai limit that induces a Nariai geometry on the brane at x = 0 [26]”

    From Three-Dimensional Quantum Black Holes: A Primer (2024) · cites this paper as [26]

  • When r- → 0, κc and κ+ simplify to the surface gravities of the cosmological horizon and black hole horizon of the qSdS black hole.

    “When r -→ 0, i.e., κ c and κ + simplify to the surface gravities of the cosmological horizon and black hole horizon of the qSdS black hole [26].”

    From Three-Dimensional Quantum Black Holes: A Primer (2024) · cites this paper as [26]

  • The Nariai mass was found to live in the finite range 11/27 < 8G3 M < 1.

    “the Nariai mass was found to live in the finite range [26] 11 27 < 8G 3 M < 1 ,(4.113)”

    From Three-Dimensional Quantum Black Holes: A Primer (2024) · cites this paper as [26]

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Metadata

Authors
Emparan, R., Pedraza, J. F., Svesko, A., Tomašević, M., & Visser, M. R.
ORCID
Venue
Journal of High Energy Physics
Publisher
Springer Science and Business Media LLC
Published
2022-11-14
Volume
2022
Issue
11
ISSN
1029-8479
DOI
10.1007/jhep11(2022)073
Cited by
56
References
5
Language
en
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