Black holes with topologically nontrivial AdS asymptotics

J. Zanelli; R. Aros; R. Troncoso

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Black holes with topologically nontrivial AdS asymptotics

R. Aros, R. Troncoso, J. Zanelli

High Energy Physics - Theory · Submitted 13 Nov 2000

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim The thermodynamic analysis of these solutions reveals that the presence of a negative cosmological constant is essential to ensure the existence of stable equilibrium states.

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.21 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.53 · compares with prior results 0.06 · mentions code or data availability 0.01.

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arXiv listing abstract v2. Results and the main claim are underlined; show every role.

Asymptotically locally AdS black hole geometries of dimension d > 2 are studied for nontrivial topologies of the transverse section. These geometries are static solutions of a set of theories labeled by an integer 0 < k < [(d-1)/2] which possess a unique globally AdS vacuum. The transverse sections of these solutions are d-2 surfaces of constant curvature, allowing for different topological configurations. The thermodynamic analysis of these solutions reveals that the presence of a negative cosmological constant is essential to ensure the existence of stable equilibrium states. In addition, it is shown that these theories are holographically related to [(d-1)/2] different conformal field theories at the boundary.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Asymptotically locally AdS black hole geometries of dimension d > 2 are studied for nontrivial topologies of the transverse section.	contribution 0.92	0.76	0.07	asserted 0.97
s1	These geometries are static solutions of a set of theories labeled by an integer 0 < k < [(d-1)/2] which possess a unique globally AdS vacuum.	contribution 0.69	0.45	0.10	asserted 1.00
s2	The transverse sections of these solutions are d-2 surfaces of constant curvature, allowing for different topological configurations.	contribution 0.54	0.46	0.07	asserted 0.95
s3	The thermodynamic analysis of these solutions reveals that the presence of a negative cosmological constant is essential to ensure the existence of stable equilibrium states.	result 1.00	0.85	0.38	asserted 1.00
s4	In addition, it is shown that these theories are holographically related to [(d-1)/2] different conformal field theories at the boundary.	result 0.91	0.80	0.20	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.99.

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The paper

Original abstract

Asymptotically locally AdS black hole geometries of dimension d > 2 are studied for nontrivial topologies of the transverse section. These geometries are static solutions of a set of theories labeled by an integer 0 < k < [(d-1)/2] which possess a unique globally AdS vacuum. The transverse sections of these solutions are d-2 surfaces of constant curvature, allowing for different topological configurations. The thermodynamic analysis of these solutions reveals that the presence of a negative cosmological constant is essential to ensure the existence of stable equilibrium states. In addition, it is shown that these theories are holographically related to [(d-1)/2] different conformal field theories at the boundary.

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References

Forward citations

Cited by 9 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

A new cubic theory of gravity in five dimensions: Black hole, Birkhoff's theorem and C-function
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A new cubic curvature theory of gravity in five dimensions has second-order traced field equations and admits an exact asymptotically flat black hole with a Birkhoff theorem and a C-function.
Exact Hairy Black Holes in Higher-Curvature Scalar--Tensor Gravity
gr-qc 2026-09 unverdicted novelty 6.0 of 10

Exact hairy black holes are found in five- and seven-dimensional Lovelock-Horndeski gravity, with planar and hyperbolic horizon topologies linked to scalar dressing and charge balance.
Quintic quasi-topological gravity
hep-th 2017-02 conditional novelty 6.0 of 10

A 24-term quintic curvature Lagrangian in five dimensions is exhibited whose spherically symmetric field equations reduce to a single quintic polynomial, yielding ghost-free AdS black holes obeying the first law.
Simple compactifications and Black p-branes in Gauss-Bonnet and Lovelock Theories
hep-th 2006-03 conditional novelty 6.0 of 10

In Einstein-Gauss-Bonnet and single Lovelock theories, toroidal compactifications M × T^p exist only for the pure terms, giving black p-branes, cosmic p-branes, and exotic black p-branes with vanishing Euler density.
Gauss-Bonnet Black Holes in AdS Spaces
hep-th 2001-09 conditional novelty 6.0 of 10

Topological Gauss-Bonnet black holes in anti-de Sitter space are shown to have a new locally stable small black hole phase in five dimensions below a critical Gauss-Bonnet coupling, though thermal AdS remains globally...

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Maximally symmetric black holes with torsion in Lovelock gravity
hep-th 2026-10 conditional novelty 5.0 of 10

Five-dimensional Lovelock gravity admits two-constant, torsion-carrying black holes with spherical, planar, and hyperbolic horizons, all with vanishing conserved charges and AdS2 x S3, AdS2 x R3, or AdS2 x H3 near-hor...
A Lovelock black hole bestiary
hep-th 2011-03 accept novelty 5.0 of 10

By reading black hole solutions off the shape of one Lovelock polynomial, the authors classify every branch by asymptotics, horizon topology, and thermodynamic stability.
The Lovelock Black Holes
gr-qc 2008-05 accept novelty 2.0 of 10

Lovelock gravity's black holes, especially the five-dimensional Boulware-Deser solution, show non-area-law entropy, thermodynamic stability, vacuum wormholes, and quantum-regular naked singularities.
Lecture notes on Chern-Simons (super-)gravities. Second edition (February 2008)
hep-th 2005-02 accept novelty 2.0 of 10

In odd dimensions the Lovelock coefficients can be uniquely fixed so the gravitational action becomes a Chern-Simons form for an (anti-)de Sitter or Poincare connection, admitting an off-shell closed local supersymmetry.

How the literature uses it

29 arXiv papers cite this in 65 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 41 sentences without a confident label

Builds on it 1 paper

This is an extension of the solutions previously discussed in [ref] .

Asymptotically Lifshitz wormholes and black holes for Lovelock gravity in vacuum · Asymptotically Lifshitz black hole · 0.99

Compares with it 2 papers

In the vacuum solution of LUV of references [ref] there are not inner horizon.

Gravitational Decoupling algorithm modifies the value of the conserved charges and thermodynamics properties in Lovelock Unique Vacuum theory · Conclusion and Discussion · 0.96
It is matter of fact that equation ([ref]) is same expression obtained for the black hole solutions in [ref] and the differences are due to the value of $r_+$ for a given value of $M̃$. $S_0$ is due to topological term [ref] added to regularize the action principle [ref] .

Regular black holes and its thermodynamics in Lovelock gravity · Entropy · 0.98

Cites it as background 17 papers

The metric of Chern-Simons black hole under consideration[See Ref. [ref] for details and discussions.] is [equation] where, [equation] and the horizon is located at [equation] Considering the horizon geometry with a negative curvature constant, $γ=-1$, the allowed range of $μ$ for $r_+≥0$ are: if $k$ is odd, $α=1$, $μ≥-1/2G_k$; if $k$ is even and $α=1$, $μ≥0$ and if $k$ is even and $α=-1$, $1/2G_k≥μ≥0$ [ref] .

Comments on absorption cross section for Chern-Simons black holes in five dimensions · Quasinormal modes and absorption cross sections of scalar perturbations · 0.89
The vacuum and static solution with an AdS ground state was studied in references [ref] and with a dS ground state in reference [ref] .

Gravitational Decoupling algorithm modifies the value of the conserved charges and thermodynamics properties in Lovelock Unique Vacuum theory · Introduction · 0.95
For a generic case, although the Lagrangian ([ref]) looks complicated, some exact black hole solutions have been found and their associated thermodynamics was investigated in [ref] .

Generalized Vaidya Spacetime in Lovelock Gravity and Thermodynamics on Apparent Horizon · Introduction · 0.80

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