Charged Dilaton Black Holes with Unusual Asymptotics

James H. Horne; Kevin C.K. Chan; Robert B. Mann

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Charged Dilaton Black Holes with Unusual Asymptotics

Kevin C.K. Chan, James H. Horne, Robert B. Mann

General Relativity and Quantum Cosmology · Submitted 27 Feb 1995

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The authors' main claim We present a new class of black hole solutions in Einstein-Maxwell-dilaton gravity in $n \ge 4$ dimensions.

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What the abstract itself states, as probabilities: claims first 0.11 · states limitation 0.30 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.31 · compares with prior results 0.28 · mentions code or data availability 0.02.

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arXiv listing abstract v1. Results and the main claim are underlined; show every role.

We present a new class of black hole solutions in Einstein-Maxwell-dilaton gravity in $n \ge 4$ dimensions. These solutions have regular horizons and a singularity only at the origin. Their asymptotic behavior is neither asymptotically flat nor (anti-) de Sitter. Similar solutions exist for certain Liouville-type potentials for the dilaton.

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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	We present a new class of black hole solutions in Einstein-Maxwell-dilaton gravity in $n \ge 4$ dimensions.	contribution 1.00	0.95	0.48	asserted 1.00
s1	These solutions have regular horizons and a singularity only at the origin.	result 0.91	0.82	0.13	asserted 1.00
s2	Their asymptotic behavior is neither asymptotically flat nor (anti-) de Sitter.	result 0.91	0.84	0.45	asserted 1.00
s3	Similar solutions exist for certain Liouville-type potentials for the dilaton.	result 0.73	0.51	0.08	asserted 0.93

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

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The paper

Original abstract

We present a new class of black hole solutions in Einstein-Maxwell-dilaton gravity in $n \ge 4$ dimensions. These solutions have regular horizons and a singularity only at the origin. Their asymptotic behavior is neither asymptotically flat nor (anti-) de Sitter. Similar solutions exist for certain Liouville-type potentials for the dilaton.

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References

Forward citations

Cited by 10 Pith papers

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

de Sitter in non-supersymmetric string theories: no-go theorems and brane-worlds
hep-th 2020-07 accept novelty 6.0 of 10

Warped flux compactifications of the USp(32), type 0'B and SO(16)xSO(16) string models admit no de Sitter or Minkowski vacua when alpha/gamma + (p+1) > 0, and any dS vacua that do arise in generalized models are pertu...
Charged Dilatonic AdS Black Holes and Magnetic AdS_{D-2} x R^2 Vacua
hep-th 2013-06 conditional novelty 6.0 of 10

Two-charge analytic AdS black holes exist in any dimension when the two dilaton couplings satisfy a1*a2 = -2(D-3)/(D-2), and this condition also lets M2/M5 or D1/D5 systems intersect into a dyonic black hole.
Higher-derivative scalar-vector-tensor theories: black holes, Galileons, singularity cloaking and holography
hep-th 2012-06 conditional novelty 6.0 of 10

Generalized Kaluza-Klein reduction of Einstein-Gauss-Bonnet gravity yields exact higher-derivative scalar-tensor black holes whose horizons can cloak naked singularities, with holographic thermodynamics and transport ...
Holography for Einstein-Maxwell-dilaton theories from generalized dimensional reduction
hep-th 2011-10 accept novelty 6.0 of 10

Einstein-Maxwell-dilaton theories with two neutral scalars are shown to descend from higher-dimensional AdS-Maxwell gravity by generalized dimensional reduction, which then yields their holographic dictionary and firs...
Generalized Holographic Quantum Criticality at Finite Density
hep-th 2011-07 conditional novelty 6.0 of 10

Classes of near-extremal Einstein-Maxwell-Dilaton black branes are shown to descend from higher-dimensional AdS, Lifshitz, or dilatonic brane solutions, which explains their scaling behavior and singularity structure.

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Effective Holographic Theories for low-temperature condensed matter systems
hep-th 2010-05 conditional novelty 6.0 of 10

Across a two-parameter (gamma, delta) landscape of charged dilatonic black holes, the paper derives where the extremal solutions are acceptable, when entropy vanishes at zero temperature, and how DC and AC conductivit...
Einstein-Maxwell-Dilaton theories with a Liouville potential
gr-qc 2009-05 conditional novelty 6.0 of 10

The field equations of Einstein-Maxwell-Dilaton theory with a Liouville potential reduce to one or two ODEs, and for the coupling relation gamma*delta = 1 the cylindrical sector is solved in general, yielding new blac...
Dynamic Dilatonic Domain Walls
hep-th 1999-03 accept novelty 6.0 of 10

A domain wall coupled to a bulk dilaton can move in a static bulk when the Israel equations force a specific relation between the bulk metric and the dilaton, and this yields explicit inflating brane cosmologies.
Quasilocal Thermodynamics of Dilaton Gravity coupled to Gauge Fields
gr-qc 1995-05 accept novelty 5.0 of 10

For dilaton gravity coupled to gauge fields in a finite region, the black hole entropy is 4 pi times the integral of the curvature coupling over the horizon two-surface, and a finite-system first law of thermodynamics...
Black holes and stars in Horndeski theory
gr-qc 2016-04 accept novelty 2.0 of 10

Horndeski gravity admits hairy black holes through either a linear Gauss-Bonnet coupling or a time-dependent galileon, and this review maps those solutions and their open stability problems.

How the literature uses it

24 arXiv papers cite this in 53 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 · 34 sentences without a confident label

Builds on it 3 papers

Therefore, we should consider at least $M=N=3$ to be the simplest non-trivial solution to go beyond the cases already contained in [ref] and [ref] .

Charged dilaton black hole with multiple Liouville potentials and gauge fields · Derivation of the solution · 0.88
For $≠0$, our solution [ref] is a generalisation of that of [ref] .

Higher-derivative scalar-vector-tensor theories: black holes, Galileons, singularity cloaking and holography · Spherical dilatonic black hole · 0.93
Closely after the work of [ref] , these black hole solutions were generalised to horizons of toroidal and hyperbolic geometry by Cai et al. ( [ref] ), again for specific couplings.

Einstein-Maxwell-Dilaton theories with a Liouville potential · Introduction · 0.88

Uses its method or tool 4 papers

In order to determine the mass we use the quasi-local mass formalism described in [ref] .

Five-Dimensional Black Hole String Backgrounds and Brane Universe Acceleration · Characteristics of the Black Hole Solutions. · 1.00
Furthermore, putting the ansatz into the Maxwell equation Maxwell_Eq and dilaton equation dilaton_Eq give [equation] Taking the difference between EE1a and EE2a leads to [equation] To make progress towards obtaining a solution, we shall follow [ref] and consider a specific ansatz for $h$ as [equation] for some constant $n$.

Charged dilaton black hole with multiple Liouville potentials and gauge fields · Derivation of the solution · 0.99
As shown in Ref. [ref] , the mass of the BH can be computed by following the quasilocal mass definition of Brown and York [ref] as

Quasinormal modes of charged dilaton black holes and their entropy spectra · CDBH and the separation of the massless Klein Gordon equation on it · 0.86

Compares with it 4 papers

After a translation and some redefinitions of parameters the solution takes the form of [ref] , s^2 = -U(x)t^2 + x^2/U(x) +R^2(x)dΩ^2, U=β/R^2,

Einstein-Maxwell-Dilaton theories with a Liouville potential · Maximally symmetric solutions in 4-dimensional spacetime · 0.80
Let us note that the string case with non-trivial dilaton potential escapes from the black hole backgrounds already found in Maxwell-Dilaton gravity [ref] .

Five-Dimensional Black Hole String Backgrounds and Brane Universe Acceleration · Black Hole Solutions · 0.92
If we set all but one of them to zero, we recover the charged dilaton black hole with two exponential potentials originally obtained in Ref. [ref] .

Charged dilaton black hole with multiple Liouville potentials and gauge fields · Derivation of the solution · 0.81

Cites it as background 7 papers

In 1995, CHM obtained the CDBH solution to the above action in their landmark paper [ref] .

Quasinormal modes of charged dilaton black holes and their entropy spectra · CDBH and the separation of the massless Klein Gordon equation on it · 0.93
An Einstein gravity theory minimally coupled with a scalar field plus a Liouville potential has been well studied in the literature, and many exact solutions have been obtained [ref] .

Rotation curves and orbits in the scalar field dark matter halo spacetime · Introduction · 1.00
Exact black hole solutions have been known for a long time both in Lovelock theory, [ref] - [ref] , and for two-derivative scalar-tensor theories, [ref] - [ref] .

Higher-derivative scalar-vector-tensor theories: black holes, Galileons, singularity cloaking and holography · Introduction · 0.95

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