Topological Black Holes in Weyl Conformal Gravity

Dietmar Klemm

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Topological Black Holes in Weyl Conformal Gravity

Dietmar Klemm

General Relativity and Quantum Cosmology · Submitted 19 Aug 1998

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

The authors' main claim We present a class of exact solutions of Weyl conformal gravity, which have an interpretation as topological black holes.

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What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.60 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.85 · mentions code or data availability 0.01.

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We present a class of exact solutions of Weyl conformal gravity, which have an interpretation as topological black holes. Solutions with negative, zero or positive scalar curvature at infinity are found, the former generalizing the well-known topological black holes in anti-de Sitter gravity. The rather delicate question of thermodynamic properties of such objects in Weyl conformal gravity is discussed; suggesting that the thermodynamics of the found solutions should be treated within the framework of gravity as an induced phenomenon, in the spirit of Sakharov's work.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We present a class of exact solutions of Weyl conformal gravity, which have an interpretation as topological black holes.	contribution 0.97	0.96	0.60	asserted 1.00
s1	Solutions with negative, zero or positive scalar curvature at infinity are found, the former generalizing the well-known topological black holes in anti-de Sitter gravity.	result 0.91	0.94	0.19	asserted 1.00
s2	The rather delicate question of thermodynamic properties of such objects in Weyl conformal gravity is discussed; suggesting that the thermodynamics of the found solutions should be treated within the framework of gravity as an induced phenomenon, in the spirit of Sakharov's work.	interpretation 0.80	0.53	0.29	hedged possibility 0.99

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The paper

Original abstract

We present a class of exact solutions of Weyl conformal gravity, which have an interpretation as topological black holes. Solutions with negative, zero or positive scalar curvature at infinity are found, the former generalizing the well-known topological black holes in anti-de Sitter gravity. The rather delicate question of thermodynamic properties of such objects in Weyl conformal gravity is discussed; suggesting that the thermodynamics of the found solutions should be treated within the framework of gravity as an induced phenomenon, in the spirit of Sakharov's work.

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References

Forward citations

Cited by 12 Pith papers

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

On black holes in higher-derivative gravities
hep-th 2017-03 conditional novelty 7.0 of 10

A general proof shows that single-function black hole solutions in higher-derivative gravity require an Einstein-like linearized spectrum, plus a recipe for constructing such theories and new planar AdS5 black holes.
Leading higher-derivative corrections to Kerr geometry
gr-qc 2019-01 accept novelty 6.0 of 10

A five-parameter effective-field-theory framework yields an analytic, spin-expanded correction to the Kerr metric, accurate to roughly one percent for spins below 0.7, subsuming Gauss-Bonnet, Chern-Simons and stringy cases.
Universal black hole stability in four dimensions
hep-th 2017-04 conditional novelty 6.0 of 10

Small four-dimensional black holes in an infinite family of ghost-free higher-curvature theories have positive specific heat, effectively infinite lifetimes, and leave huge-entropy remnants.
Four-dimensional black holes in Einsteinian cubic gravity
hep-th 2016-10 conditional novelty 6.0 of 10

Static, spherically symmetric black holes in four-dimensional Einsteinian cubic gravity reduce to a single function satisfying a second-order ODE, and their temperature, entropy, and mass satisfy the first law exactly.
AdS and Lifshitz Black Holes in Conformal and Einstein-Weyl Gravities
hep-th 2012-04 conditional novelty 6.0 of 10

Conformal and Einstein-Weyl gravity admit new AdS and Lifshitz black holes carrying a massive spin-2 hair parameter, which requires an extended first law with an extra intensive/extensive pair.

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Classification of Six Derivative Lagrangians of Gravity and Static Spherically Symmetric Solutions
gr-qc 2010-04 conditional novelty 6.0 of 10

Every six-derivative gravity Lagrangian with a second-order traced field equation reduces, in dimensions above six, to a combination of the six-dimensional Euler density and two cubic Weyl invariants.
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...
Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A$^*$
gr-qc 2022-05 conditional novelty 5.0 of 10

EHT observations of Sgr A* constrain deviations from GR black hole solutions including regular BHs, string-inspired spacetimes, and BH mimickers, with some limits exceeding cosmological bounds.
Black Holes in Pure Lovelock Gravities
hep-th 2006-04 accept novelty 5.0 of 10

Static black hole solutions and their temperatures, entropies, and stabilities are derived for pure Lovelock gravity with a cosmological constant, including de Sitter Nariai-type bounds and anti-de Sitter branches abs...
Topological black holes in the dimensionally continued gravity
gr-qc 1998-08 conditional novelty 5.0 of 10

Topological black holes with flat or hyperbolic horizons exist in dimensionally continued Lovelock gravity, and their thermodynamic properties differ from the spherical case in specific, computable ways.
Black holes and phase transitions in Conformal Gravity
hep-th 2026-09 conditional novelty 4.0 of 10

Zeroth-order black hole phase transitions occur in conformal gravity in arbitrary even dimensions.
Some aspects of generalized modified gravity models
gr-qc 2013-02 conditional novelty 2.0 of 10

F(R) and F(R,G) modified gravity can host black holes whose mass is the integration constant of the solution, can be shielded from future singularities by power-law curvature terms, and can drive both inflation and da...

How the literature uses it

25 arXiv papers cite this in 28 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 · 20 sentences without a confident label

Cites it as background 8 papers

A conformal gravity, constructed from the quadratic Weyl term, may be an alternative theory of gravitation, and its Lagrangian reads [ref] [equation] where $C_μνρσ$ is the Weyl tensor and the sign choice of coupling constant $α$ is critical [ref] though $α$ is independent of the equations of motion.

Joule-Thomson effect of AdS black holes in conformal gravity · AdS black holes in conformal gravity and relevant thermodynamics · 0.88
There are some exact solutions of pure conformal gravity (i.e., the limited case of Einstein-Weyl gravity when $γ$ goes to infinity) in four dimensions in the literatures, say [ref] .

Causality Constraint on Noncritical Einstein-Weyl Gravity · AdS Black Brane in Conformal Gravity · 0.95
Asymptotically AdS and Lifshitz solutions in four-dimensional conformal gravity have been studied in [ref] .

One-Loop Divergences in 6D Conformal Gravity · Introduction · 0.90

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