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Many accelerating distorted black holes
General Relativity and Quantum Cosmology · Submitted 3 Jun 2021
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Therefore the multi-black hole configuration can be maintained at equilibrium without the need of string or struts.
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
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The abstract, sentence by sentence
An analytical metric of four-dimensional General Relativity, representing an array of collinear and accelerating black holes, is constructed with the inverse scattering method. The solution can be completely regularised from any conical singularity, thanks to the presence of an external gravitational field. Therefore the multi-black hole configuration can be maintained at equilibrium without the need of string or struts. Some notable subcases such as the accelerating distorted Schwarzschild black hole and the double distorted C-metric are explicitly presented. The Smarr law and the thermodynamics of these systems is studied. The Bonnor-Swaminarayan and the Bi\v{c}\'ak-Hoenselaers-Schmidt particle metrics are recovered, through appropriate limits, from the multi-black holes solutions.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | An analytical metric of four-dimensional General Relativity, representing an array of collinear and accelerating black holes, is constructed with the inverse scattering method. | contribution 0.95 | 0.92 | 0.17 | asserted 1.00 |
| s1 | The solution can be completely regularised from any conical singularity, thanks to the presence of an external gravitational field. | result 0.93 | 0.81 | 0.12 | asserted 0.99 |
| s2 | Therefore the multi-black hole configuration can be maintained at equilibrium without the need of string or struts. | result 0.51 | 0.80 | 0.45 | asserted 1.00 |
| s3 | Some notable subcases such as the accelerating distorted Schwarzschild black hole and the double distorted C-metric are explicitly presented. | contribution 0.79 | 0.84 | 0.07 | asserted 1.00 |
| s4 | The Smarr law and the thermodynamics of these systems is studied. | contribution 0.97 | 0.88 | 0.05 | asserted 0.99 |
| s5 | The Bonnor-Swaminarayan and the Bi\v{c}\'ak-Hoenselaers-Schmidt particle metrics are recovered, through appropriate limits, from the multi-black holes solutions. | result 0.92 | 0.82 | 0.07 | asserted 1.00 |
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The paper
Original abstract
An analytical metric of four-dimensional General Relativity, representing an array of collinear and accelerating black holes, is constructed with the inverse scattering method. The solution can be completely regularised from any conical singularity, thanks to the presence of an external gravitational field. Therefore the multi-black hole configuration can be maintained at equilibrium without the need of string or struts. Some notable subcases such as the accelerating distorted Schwarzschild black hole and the double distorted C-metric are explicitly presented. The Smarr law and the thermodynamics of these systems is studied. The Bonnor-Swaminarayan and the Bi\v{c}\'ak-Hoenselaers-Schmidt particle metrics are recovered, through appropriate limits, from the multi-black holes solutions.
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References
How the literature uses it
7 arXiv papers cite this in 11 sentences
Papers citing it · 7 sentences without a confident label
Uses its method or tool 1 paper
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The procedure is similar to the one used to obtain the Bonnor–Swaminarayan solution from an accelerating binary black hole system [ref] .
Black holes and solution generating techniques · Four dimensions · 0.83
Cites it as background 3 papers
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Accelerating black holes usually are considered to fall into the Plebanski-Demianski family of solutions [ref] , thus they belong to the type D in the Petrov classification[Accelerating black hole embedded in external gravitational [ref] or electromagnetic [ref] backgrounds or multi black hole configurations [ref] were already know to be of more general type with respect to the D-type, however here we are referring only to accelerating metrics that models a black hole with a Rindler horizon.].
Accelerating and Charged Type I Black Holes · Introduction · 0.98
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Some further generalisations including accelerating charged and rotating multi black hole configurations were given recently in [ref] , [ref] , [ref] .
Removal of conical singularities from rotating C-metrics and dual CFT entropy · Introduction · 0.88
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In the past few years accelerating black holes have attracted increasing attention due to their interesting thermodynamic properties [ref] , near horizon symmetries [ref] , and other features [ref] .
Lensing Signatures of a Slowly-Accelerated Black Hole · Introduction · 0.92
What it cites · 18 sentences without a confident label
Builds on 3 papers
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The accelerating external gravitational background provides us a second interesting opportunity to generalise the solution describing a binary black hole system at equilibrium, as presented in [ref] .
Binary black hole system at equilibrium · Double C-metric in an external gravitational field · 1.00
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The accelerating external gravitational background provides us a second interesting opportunity to generalise the solution describing a binary black hole system at equilibrium, as presented in [ref] .
Charged and rotating multi-black holes in an external gravitational field · Double C-metric in an external gravitational field · 1.00
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We construct the generalisation of the Dowker–Thambyahpillai solution [ref] , which represents an array of collinear accelerating black holes.
Many accelerating black holes · Array of accelerating black holes in an external gravitational field · 0.99
Compares with 2 papers
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The main advantage of [ref] is its close resemblance with the one used for the non-accelerating case [ref] and it is more suitable for non accelerating limits.]
Charged and rotating multi-black holes in an external gravitational field · Array of accelerating black holes in an external gravitational field · 0.83
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The thermodynamics quantities just computed, can be compared with the standard ones in the absence of the external gravitational field [ref] .
Thermodynamics of Many Black Holes · Smarr law · 1.00
Cites as background 5 papers
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Usually it is speculated that in the presence of a strong electromagnetic field the C-metric can describe a couple of casually disconnected and charged black holes (eventually rotating [ref] ) popping-out from vacuum and accelerating away [ref] .
Entropy in Black Hole Pair Production · Accelerating Schwarzschild black hole in an external gravitational field · 0.89
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Usually it is speculated that in the presence of a strong electromagnetic field the C-metric can describe a couple of casually disconnected and charged black holes (eventually rotating [ref] ) popping-out from vacuum and accelerating away [ref] .
Entropy, Area, and Black Hole Pairs · Accelerating Schwarzschild black hole in an external gravitational field · 0.89
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Usually it is speculated that in the presence of a strong electromagnetic field the C-metric can describe a couple of casually disconnected and charged black holes (eventually rotating [ref] ) popping-out from vacuum and accelerating away [ref] .
Pair Creation of Rotating Black Holes · Accelerating Schwarzschild black hole in an external gravitational field · 0.89
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