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Scalarization-like mechanism through spacetime anisotropic scaling symmetry
High Energy Physics - Theory · Submitted 24 Dec 2020
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim This observation, together with a direct verification of the so-called scalarization conditions, suggest that the emergence of the dilaton field is due to a mechanism similar to spontaneous scalarization.
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The abstract, sentence by sentence
We present a new family of exact black hole configurations, which is a solution to a generalized Einstein-Maxwell-Dilaton setup in arbitrary dimension. These solutions are asymptotically Lifshitz for any dynamical critical exponent $z\geq 1$. It turns out that the existence of a nontrivial scalar field is a direct consequence of breaking the spacetime isotropic scaling symmetry. This black hole family accepts various interesting limits that link it to well-known solutions in both the isotropic and anisotropic cases. We study the thermodynamics of these field configurations showing that the first law is satisfied and providing the corresponding Smarr formula, both of these relations account for an electric contribution. Furthermore, we show that for a certain parameter region, the anisotropic field configuration with a nonzero scalar field is thermodynamically preferred. This observation, together with a direct verification of the so-called scalarization conditions, suggest that the emergence of the dilaton field is due to a mechanism similar to spontaneous scalarization.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We present a new family of exact black hole configurations, which is a solution to a generalized Einstein-Maxwell-Dilaton setup in arbitrary dimension. | contribution 0.98 | 0.95 | 0.09 | asserted 1.00 |
| s1 | These solutions are asymptotically Lifshitz for any dynamical critical exponent $z\geq 1$. | result 0.94 | 0.81 | 0.07 | asserted 1.00 |
| s2 | It turns out that the existence of a nontrivial scalar field is a direct consequence of breaking the spacetime isotropic scaling symmetry. | result 0.54 | 0.80 | 0.24 | asserted 1.00 |
| s3 | This black hole family accepts various interesting limits that link it to well-known solutions in both the isotropic and anisotropic cases. | result 0.78 | 0.70 | 0.04 | asserted 0.94 |
| s4 | We study the thermodynamics of these field configurations showing that the first law is satisfied and providing the corresponding Smarr formula, both of these relations account for an electric contribution. | result 0.63 | 0.96 | 0.07 | asserted 1.00 |
| s5 | Furthermore, we show that for a certain parameter region, the anisotropic field configuration with a nonzero scalar field is thermodynamically preferred. | result 1.00 | 0.94 | 0.19 | asserted 0.99 |
| s6 | This observation, together with a direct verification of the so-called scalarization conditions, suggest that the emergence of the dilaton field is due to a mechanism similar to spontaneous scalarization. | interpretation 1.00 | 0.91 | 0.74 | hedged possibility 0.99 |
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The paper
Original abstract
We present a new family of exact black hole configurations, which is a solution to a generalized Einstein-Maxwell-Dilaton setup in arbitrary dimension. These solutions are asymptotically Lifshitz for any dynamical critical exponent $z\geq 1$. It turns out that the existence of a nontrivial scalar field is a direct consequence of breaking the spacetime isotropic scaling symmetry. This black hole family accepts various interesting limits that link it to well-known solutions in both the isotropic and anisotropic cases. We study the thermodynamics of these field configurations showing that the first law is satisfied and providing the corresponding Smarr formula, both of these relations account for an electric contribution. Furthermore, we show that for a certain parameter region, the anisotropic field configuration with a nonzero scalar field is thermodynamically preferred. This observation, together with a direct verification of the so-called scalarization conditions, suggest that the emergence of the dilaton field is due to a mechanism similar to spontaneous scalarization.
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How the literature uses it
6 arXiv papers cite this in 10 sentences
Papers citing it · 6 sentences without a confident label
Compares with it 1 paper
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Most remarkable is the fact that this choice turns off the scalar field, much alike as it was found in [ref] with the critical dynamical exponent at $z=1$.
Anisotropic Schr\"odinger black holes with hyperscaling-violation · The effect of the hyperscaling violation and dynamical exponents on the thermodynamics · 0.97
Cites it as background 1 paper
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In dRGT massive gravity, (charged) black hole solutions and their thermodynamics in asymptotically AdS spacetime were investigated [ref] .
Charged dilatonic black holes in dilaton-massive gravity · Introduction · 0.97
What it cites · 37 sentences without a confident label
Uses the method or tool of 1 paper
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The electrostatic potential associated with the Maxwell field is defined as [equation] Next, in order to compute the total energy carried by our black hole configuration we exploit the so-called generalized ADT quasilocal method, foremost introduced in [ref] .
Quasi-Local Conserved Charges in Covariant Theory of Gravity · Global charges and black hole Thermodynamics · 0.99
Compares with 4 papers
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In contrast to the numerical solutions [ref] known to the model [ref], we are interested in the pursuit of exact configurations.
Spontaneous scalarisation of charged black holes · The $D=4$ black hole · 0.97
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In contrast to the numerical solutions [ref] known to the model [ref], we are interested in the pursuit of exact configurations.
Spontaneous scalarization of charged black holes at the approach to extremality · The $D=4$ black hole · 0.97
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The following integral relation between the thermodynamical quantities holds [equation] which reduces to the previously reported [ref] when the parameter $b$ goes to zero.
Scaling symmetry and scalar hairy Lifshitz black holes · Global charges and black hole Thermodynamics · 0.91
Cites as background 23 papers
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The field equations derived from [ref] through the action principle read [equation] where the total energy-momentum tensor contains information from both matter fields and it is conformed by [equation] with $T^ϕ_μν$ the free scalar field energy-momentum tensor and $T^A_μν$ the one for the Maxwell field, i.e, [equation] We point out that the first scrutiny of this system in the context of scalarization was in [ref] .
Spontaneous scalarisation of charged black holes · Lifshitz black holes · 0.85
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Originally discussed in the context of neutron stars [ref] , it was noted that a tensor-scalar configuration could become nontrivial for a specific range of parameters — the total mass in that particular case.
Neutron stars in scalar-tensor theories of gravity and catastrophe theory · Introduction · 0.92
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Originally discussed in the context of neutron stars [ref] , it was noted that a tensor-scalar configuration could become nontrivial for a specific range of parameters — the total mass in that particular case.
Tensor-scalar gravity and binary-pulsar experiments · Introduction · 0.92
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