2022
DOI: 10.1007/jhep11(2022)073
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Black holes in dS3

Abstract: 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 no… Show more

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Cited by 39 publications
(17 citation statements)
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“…16 Further, it would be interesting to extend our current analysis to other types of black hole spacetimes, particularly those including a cosmological constant (whose Weyl double copy was presented in [57]), additional Abelian gauge fields [58], and massless or higher-spin fields [59,60]. It would also be interesting to adapt our formalism to threedimensional spacetimes, such as the Bañados-Teitelboim-Zanelli (BTZ) black hole [61], its quantum and de Sitter generalizations [62,63], or generalized three-dimensional solutions described in [64,65]. To this end, it would be worthwhile to also attempt to extend the Cotton double copy [66] to include external sources.…”
Section: Discussionmentioning
confidence: 99%
“…16 Further, it would be interesting to extend our current analysis to other types of black hole spacetimes, particularly those including a cosmological constant (whose Weyl double copy was presented in [57]), additional Abelian gauge fields [58], and massless or higher-spin fields [59,60]. It would also be interesting to adapt our formalism to threedimensional spacetimes, such as the Bañados-Teitelboim-Zanelli (BTZ) black hole [61], its quantum and de Sitter generalizations [62,63], or generalized three-dimensional solutions described in [64,65]. To this end, it would be worthwhile to also attempt to extend the Cotton double copy [66] to include external sources.…”
Section: Discussionmentioning
confidence: 99%
“…However, κ can also be defined as positive by definition, which is what we do in this paper. 13 Semi-classical backreaction due to conformal fields can induce a black hole horizon, however, leading to a three-dimensional quantum de Sitter black hole [44]. 14 If the Killing vector ξ is normalized to unity at the boundary, then the matter Killing energy variation of the point mass at rest at the pole is equal to minus the horizon patch BY energy variation for nonzero R as well, and is given by δm multiplied by the norm of ξ at the location of the particle.…”
Section: Three-dimensional Schwarzschild-de Sitter Solutionmentioning
confidence: 99%
“…Recently it was shown that in three‐dimensional dS spacetime, classical black holes do not exist, [ 67 ] so we consider this point and proceed with our work for the AdS case (i.e., Λ is always negative in this work).…”
Section: Uncharged Accelerating Btz Black Hole Solutionsmentioning
confidence: 99%