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Charged Lifshitz Black Holes
High Energy Physics - Theory · Submitted 2 Feb 2011
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We find that the behaviour of large black holes is insensitive to the topology of the solutions, whereas for small black holes significant differences emerge.
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The abstract, sentence by sentence
We investigate modifications of the Lifshitz black hole solutions due to the presence of Maxwell charge in higher dimensions for arbitrary $z$ and any topology. We find that the behaviour of large black holes is insensitive to the topology of the solutions, whereas for small black holes significant differences emerge. We generalize a relation previously obtained for neutral Lifshitz black branes, and study more generally the thermodynamic relationship between energy, entropy, and chemical potential. We also consider the effect of Maxwell charge on the effective potential between objects in the dual theory.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We investigate modifications of the Lifshitz black hole solutions due to the presence of Maxwell charge in higher dimensions for arbitrary $z$ and any topology. | contribution 1.00 | 0.89 | 0.08 | asserted 0.74 |
| s1 | We find that the behaviour of large black holes is insensitive to the topology of the solutions, whereas for small black holes significant differences emerge. | result 1.00 | 0.95 | 0.33 | asserted 1.00 |
| s2 | We generalize a relation previously obtained for neutral Lifshitz black branes, and study more generally the thermodynamic relationship between energy, entropy, and chemical potential. | contribution 1.00 | 0.91 | 0.16 | asserted 0.87 |
| s3 | We also consider the effect of Maxwell charge on the effective potential between objects in the dual theory. | contribution 0.99 | 0.88 | 0.07 | unclear 0.59 |
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The paper
Original abstract
We investigate modifications of the Lifshitz black hole solutions due to the presence of Maxwell charge in higher dimensions for arbitrary $z$ and any topology. We find that the behaviour of large black holes is insensitive to the topology of the solutions, whereas for small black holes significant differences emerge. We generalize a relation previously obtained for neutral Lifshitz black branes, and study more generally the thermodynamic relationship between energy, entropy, and chemical potential. We also consider the effect of Maxwell charge on the effective potential between objects in the dual theory.
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References
How the literature uses it
20 arXiv papers cite this in 27 sentences
Papers citing it · 10 sentences without a confident label
Builds on it 2 papers
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Since we wish to understand the effects of the Gauss-Bonnet term on the previously considered [ref] ($n+1$)-dimensional charged Einstein solutions with arbitrary $z$, we begin by linearizing the system in ($n+1$)-dimensions.
Gauss-Bonnet Black Holes and Heavy Fermion Metals · Solutions at large $r$ · 0.98
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This extends the work of [ref] and gives further justification that the thermodynamic description of black holes, which is known to be valid in the AdS-case, is also applicable for non-relativistic holography.
Thermodynamics of Dyonic Lifshitz Black Holes · Introduction · 0.95
Uses its method or tool 1 paper
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We resort to the Euclidean metric obtained by a Wick rotation to compute the temperature, which leads to the following expression [ref] [equation] where $f_0$, $g_0$ are the expansion coefficients in the near horizon limit.
Lifshitz black holes in Einstein-Yang-Mills theory · Thermal behavior · 0.92
Compares with it 1 paper
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The first line is in accord with the findings in [ref] and [ref] .
Thermodynamics of Dyonic Lifshitz Black Holes · Thermodynamic potential and equation of state · 0.87
Cites it as background 12 papers
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In general, black hole solutions with Lifshitz scaling are hard to find, especially those that have analytic expressions for the black hole function $g_z$ and flat horizon topology [ref] [ref] [ref] [ref] [ref] [ref] [ref] [ref] .
Holographic Lifshitz Superconductors with an Axion Field · The System · 0.83
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The Lifshitz topological black holes and charged Lifshitz black holes have previously been discussed in Refs. [ref] .
Analytical holographic superconductors in $AdS_N$ Lifshitz topological black holes · Introduction · 0.97
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Many Lifshitz black hole geometries have also been implemented in Refs. [ref] .
Informational properties of holographic Lifshitz field theory · Introduction · 0.97
What it cites · 11 sentences without a confident label
Builds on 3 papers
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We also found that we can extend the thermodynamics of Lifshitz black branes [ref] to the charged case, provided the parameter $z<n-1$.
Black holes in asymptotically Lifshitz spacetimes with arbitrary critical exponent · Concluding Remarks · 0.99
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We also found that we can extend the thermodynamics of Lifshitz black branes [ref] to the charged case, provided the parameter $z<n-1$.
Thermodynamics of black branes in asymptotically Lifshitz spacetimes · Concluding Remarks · 0.99
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We also found that we can extend the thermodynamics of Lifshitz black branes [ref] to the charged case, provided the parameter $z<n-1$.
Thermodynamics of Lovelock-Lifshitz Black Branes · Concluding Remarks · 0.99
Uses the method or tool of 1 paper
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Applying the same method described in [ref] reveals that [equation] is conserved along the radial coordinate $r$ and [equation] where $D$ is an integration constant, which is chosen such that $κ(r)$ vanishes at the horizon, that is [equation] We shall evaluate $𝒞$ both at the horizon radius and infinity.
Thermodynamics of Lovelock-Lifshitz Black Branes · Conserved Charge · 1.00
Cites as background 3 papers
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In the previous section we wrote down the field equations to higher dimensions and arbitrary $z$ (equations ([ref])–([ref])), and here we review the general form of the asymptotic behaviour of the solutions [ref] .
Holographic models with anisotropic scaling · Solutions at large $r$ · 0.91
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This scaling property (noted previously in other contexts [ref] ) holographically is represented in the following form of the spacetime metric [ref] : [equation] where the coordinates ($t,r,x^i$) are dimensionless and the only length scale in the geometry is $ℓ$.
On Existence of Self-Tuning Solutions in Static Braneworlds without Singularities · Introduction · 0.80
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In recent years the idea of holographic duality has been developed beyond high energy physics to describe strongly coupled systems in condensed matter physics, such as quantum critical systems [ref] .
Lectures on holographic methods for condensed matter physics · Introduction · 0.95
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