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Motion and collision of particles in rotating linear dilaton black hole
General Relativity and Quantum Cosmology · Submitted 6 Feb 2018
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We show that the dilaton black hole acts as a particle accelerator by analyzing the energy in the center of mass (CM) frame of two colliding particles in the vicinity of its horizon.
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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
We study the motion of particles in the background of a four-dimensional linear dilaton black hole. We solve analytically the equations of motion of the test particles and we describe their motion. We show that the dilaton black hole acts as a particle accelerator by analyzing the energy in the center of mass (CM) frame of two colliding particles in the vicinity of its horizon. In particular we find that there is a critical value of the angular momentum, which depends on the string coupling, and a particle with this critical angular momentum can reach the inner horizon with an arbitrarily high CM energy. This is known as the Ba\~nados, Silk and West (BSW) process. We also show that the motion and collisions of particles have a similar behavior to the three-dimensional BTZ black hole. In fact, the photons can plunge into the horizon or escape to infinity, and they can not be deflected, while for massive particles there are no confined orbits of first kind, like planetary or circular orbits.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study the motion of particles in the background of a four-dimensional linear dilaton black hole. | contribution 0.87 | 0.90 | 0.03 | asserted 0.84 |
| s1 | We solve analytically the equations of motion of the test particles and we describe their motion. | method 0.72 | 0.95 | 0.05 | asserted 0.99 |
| s2 | We show that the dilaton black hole acts as a particle accelerator by analyzing the energy in the center of mass (CM) frame of two colliding particles in the vicinity of its horizon. | result 0.67 | 0.94 | 0.58 | asserted 1.00 |
| s3 | In particular we find that there is a critical value of the angular momentum, which depends on the string coupling, and a particle with this critical angular momentum can reach the inner horizon with an arbitrarily high CM energy. | result 1.00 | 0.94 | 0.71 | asserted 1.00 |
| s4 | This is known as the Ba\~nados, Silk and West (BSW) process. | background 0.64 | 0.06 | 0.07 | asserted 0.99 |
| s5 | We also show that the motion and collisions of particles have a similar behavior to the three-dimensional BTZ black hole. | result 0.80 | 0.85 | 0.08 | asserted 1.00 |
| s6 | In fact, the photons can plunge into the horizon or escape to infinity, and they can not be deflected, while for massive particles there are no confined orbits of first kind, like planetary or circular orbits. | result 1.00 | 0.78 | 0.06 | asserted 1.00 |
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The paper
Original abstract
We study the motion of particles in the background of a four-dimensional linear dilaton black hole. We solve analytically the equations of motion of the test particles and we describe their motion. We show that the dilaton black hole acts as a particle accelerator by analyzing the energy in the center of mass (CM) frame of two colliding particles in the vicinity of its horizon. In particular we find that there is a critical value of the angular momentum, which depends on the string coupling, and a particle with this critical angular momentum can reach the inner horizon with an arbitrarily high CM energy. This is known as the Ba\~nados, Silk and West (BSW) process. We also show that the motion and collisions of particles have a similar behavior to the three-dimensional BTZ black hole. In fact, the photons can plunge into the horizon or escape to infinity, and they can not be deflected, while for massive particles there are no confined orbits of first kind, like planetary or circular orbits.
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How the literature uses it
4 arXiv papers cite this in 4 sentences
Papers citing it · 1 sentence without a confident label
Cites it as background 3 papers
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The BSW mechanism has been extensively studied for different black hole geometries [ref] .
Collision of particles near a three-dimensional rotating Ho\v{r}ava AdS black hole · Introduction · 0.97
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Also, the geodesics of test particles around rotating black holes were calculated in [ref] .
Motion of particles in a magnetically charged Euler-Heisenberg black hole with scalar hair · Introduction · 0.99
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Also, the geodesics of test particles around rotating BHs were calculated in [ref] .
Motion of particles around a magnetically charged Euler-Heisenberg black hole with scalar hair and the Event Horizon Telescope · Introduction · 0.98
What it cites · 7 sentences without a confident label
Compares with 3 papers
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The above arguments show that the motion and collision of particles in the linear dilaton black hole has a similar behavior to the observed for the motion and collision of particles in the BTZ black hole [ref] .
Particle Accelerators inside Spinning Black Holes · Summary · 1.00
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Notice that the particle with critical angular momentum cannot exist outside the event horizon; however, it can exist on the degenerate horizon, which is similar to the behavior for the extremal BTZ black hole [ref] .
Particle collisions in the lower dimensional rotating black hole space-time with the cosmological constant · The CM energy of two colliding particles · 1.00
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This behavior is similar to the rotating BTZ black hole [ref] .
Particle collision with an arbitrarily high center-of-mass energy near a Ba\~nados-Teitelboim-Zanelli black hole · The CM energy of two colliding particles · 1.00
Cites as background 23 papers
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Also, it is known that two particles in the ergosphere lead to infinity growth of the energy of the CM frame, provided the angular momentum of one of the two particles has a large negative angular momentum and a fixed energy at infinity for the Kerr black holes [ref] , which was subsequently proven to be a universal property of the ergosphere [ref] .
Particles with negative energies in black holes · Introduction · 0.83
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Also, it is known that two particles in the ergosphere lead to infinity growth of the energy of the CM frame, provided the angular momentum of one of the two particles has a large negative angular momentum and a fixed energy at infinity for the Kerr black holes [ref] , which was subsequently proven to be a universal property of the ergosphere [ref] .
High energy collisions of particles inside ergosphere: general approach · Introduction · 0.83
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The study of null geodesics in the electrically charged GHS black hole was carried out in Refs. [ref] , and the timelike geodesics were analyzed in [ref] .
Motion of Test Particles around a Charged Dilatonic Black Hole · Introduction · 0.97
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