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AdS segment and hidden conformal symmetry in general non-extremal black holes
High Energy Physics - Theory · Submitted 1 Aug 2011
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim It is demonstrated that the near-horizon geometry of general non-extremal black holes can be described by a portion of AdS space.
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The abstract, sentence by sentence
It is demonstrated that the near-horizon geometry of general non-extremal black holes can be described by a portion of AdS space. We show that the reason why hidden conformal symmetries near horizons of general non-extremal black holes are achieved in previous works is that the near-horizon geometries have been equivalently taken as these AdS segments rather than simply the Rindler space.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | It is demonstrated that the near-horizon geometry of general non-extremal black holes can be described by a portion of AdS space. | result 0.94 | 0.88 | 0.64 | asserted 1.00 |
| s1 | We show that the reason why hidden conformal symmetries near horizons of general non-extremal black holes are achieved in previous works is that the near-horizon geometries have been equivalently taken as these AdS segments rather than simply the Rindler space. | interpretation 0.91 | 0.66 | 0.51 | asserted 1.00 |
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The paper
Original abstract
It is demonstrated that the near-horizon geometry of general non-extremal black holes can be described by a portion of AdS space. We show that the reason why hidden conformal symmetries near horizons of general non-extremal black holes are achieved in previous works is that the near-horizon geometries have been equivalently taken as these AdS segments rather than simply the Rindler space.
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How the literature uses it
2 arXiv papers cite this in 4 sentences
Papers citing it · 3 sentences without a confident label
Cites it as background 1 paper
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On the other hand, the AdS$_2$-segment [ref] is introduced to be ds^2_AdS=Q^2(-sinh^2η dt̂^2 +cosh^2η/sinh^2η+r^2_0dη^2+dΩ^2_2), which describes the near-extremal RN black hole.
Quasinormal frequencies using the hidden conformal symmetry of the Schwarzschild black hole · QNFs of scalar around AdS-segment · 0.80
What it cites · 28 sentences without a confident label
Uses the method or tool of 2 papers
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Following [ref] , we separate the massless scalar as $Φ=e^-itR(r)S(þ,ϕ)$.
Hidden Conformal Symmetry of the Kerr Black Hole · Conformal symmetry in general Kerr · 0.95
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As done in [ref] , under the “near-region" condition $r≤1$ and the low-frequency condition $r_+≤1$, the radial equation becomes [equation] This equation contains solutions that are $SL(2,R)$ invariant.
Conformal structure of the Schwarzschild black hole · Conformal symmetry in general RN/Schwarzschild · 0.82
Compares with 1 paper
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If we use the coordinate redefinition relations ([ref]) for the Schwarzschild metric case, these vectors are exactly those obtained in [ref] .
Conformal structure of the Schwarzschild black hole · Conformal symmetry in general RN/Schwarzschild · 0.95
Cites as background 18 papers
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According to the AdS/CFT correspondence, the AdS structure [ref] near horizons of extreme Kerr black holes implies that Kerr black holes at extremality could be described by a two-dimensional conformal field theory (CFT) [ref] (for a review see [ref] ).
Cargese Lectures on the Kerr/CFT Correspondence · Introduction · 0.94
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According to the AdS/CFT correspondence, the AdS structure [ref] near horizons of extreme Kerr black holes implies that Kerr black holes at extremality could be described by a two-dimensional conformal field theory (CFT) [ref] (for a review see [ref] ).
The Kerr/CFT Correspondence · Introduction · 0.94
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The Kerr/CFT correspondence [ref] suggests that Kerr black holes at extremality could be described by a two-dimensional CFT.
Another Realization of Kerr/CFT Correspondence · Conformal symmetry on the warped AdS$_3$ segment · 0.83
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