Particle collisions near a three-dimensional warped AdS black hole

Bécar, Ramón; González, P. A.; Vásquez, Yerko

doi:10.1140/epjc/s10052-018-5814-0

Cited by 10 publications

(6 citation statements)

References 105 publications

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“…Dragging of inertial frames: In linear dilaton black hole, the presence of g tφ = 0 in the metric introduces qualitatively new effects on particle and photon trajectories, like the effect called "dragging of inertial frames". Thus, by using the equations (36) and (37), we obtaiṅ…”

Section: Geodesics In the Equatorial Planementioning

confidence: 99%

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Motion and collision of particles in a rotating linear dilaton black hole

et al. 2018

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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 Bañados, 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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Section: Geodesics In the Equatorial Planementioning

confidence: 99%

“…(39) we can see that for radial photons we have V (r) = 0, so that eqs. (37), (38) and (36) in the equatorial plane becomeṫ…”

Section: Radial Motionmentioning

confidence: 99%

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Motion and collision of particles in a rotating linear dilaton black hole

et al. 2018

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“…Therefore, The BSW mechanism of the collision of particles near the horizon of black holes may provide such a possible approach. The BSW mechanism has been studied for different rotating and charged black holes in General Relativity (GR) and other modified theories of gravity [49][50][51][52][53][54].…”

Section: Introductionmentioning

confidence: 99%

Quasi Periodic Oscillations of Test Particles and Red-Blue Shifts of the Photons Emitted By the Charged Test Particles Orbiting the Charged Black Hole in the Presence of Quintessence and Clouds of Strings

Mustafa,

Hussain,

Liu

2021

Preprint

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Here we examine the circular motion of test particles and photons in the spacetime geometry of charged black hole surrounded by quintessence and clouds of strings for the equation of state parameter ωq = −2/3. We observe that there exist stable circular orbits in this geometry for very small values of the quintessence and string cloud parameters, i.e., 0 < γ << 1 and 0 < α << 1. We observe that if the values of γ and α increase, the test particle can more easily escape the gravitational field of the black hole. While the effect of the charge Q of the black hole on the effective potential is just opposite to that of the γ and α. Further, we investigate the quasi-periodic oscillations of test particles near the stable circular orbits. With the increasing values of Q, the stable circular orbits get away from the central object; therefore, one can observe lower epicyclic frequencies away from the central gravitating source with the increase in the values of Q. The stable circular orbits get close to the central object as γ and α increases. Thus, one can observe the epicyclic frequencies relative to the central object and would be higher as compared to the epicyclic frequencies observed in the case of pure Riessner-Nordstrom black hole, i.e., without quintessence. The redshift parameter z of the photons emitted by the charged test particles moving in the stable circular orbits around the central source increases with an increase in the parameter α and decreases with an increase in the values of the charge Q. For different values of the parameter γ, it stays constant. In the Banados-Silk-West (BSW) process study, we note that the centre of mass-energy at the horizon of this Riessner-Nordstrom black hole with quintessence and string clouds increases indefinitely if the charge of one of the colliding particles attains its critical value. It is observed that the effective force on the test particles decreases as the values of the parameters γ and α increase, and it increases with the increasing values of the charge Q. For a better understanding of the study, we show the dependence of the radii of the circular orbits, energy and angular momentum of the particles, effective potential, effective force, quasi-periodic oscillations and red-blue shifts of photons of the test particles in the circular orbits on the parameters α, γ and Q graphically.

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“…However, the motion of a particle with a subcritical angular momentum is allowed for near an extremal rotating BTZ black hole and the CM energy for a tail-on collision at a point can be arbitrarily large in a critical angular momentum limit. Also, the BSW effect is possible on the outer horizon in the extremal warped AdS 3 black hole, and the particle with critical angular momentum can reach the degenerate horizon when a condition on its energy is fulfilled [48], which resembles what occurs in the extremal Kerr-AdS black hole; however, in the extremal Kerr-AdS black hole two conditions must be fulfilled [9]; besides, this effect is also possible on the inner horizon for the non-extremal warped AdS 3 black hole.…”

Section: Introductionmentioning

confidence: 99%

Collision of particles near a three-dimensional rotating Hořava AdS black hole

2021

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We consider a three-dimensional rotating AdS black hole, which is a solution of Hořava gravity in the low-energy limit that corresponds to a Lorentz-violating version of the BTZ black hole, and we analyze the effect of the breaking of Lorentz invariance on the possibility that the black hole can act as a particle accelerator by analyzing the energy in the center-of-mass (CM) frame of two colliding particles in the vicinity of its horizons. We find that the critical angular momentum of particles increases when the Hořava parameter $$\xi $$ ξ increases and when the aether parameter b increases. Also, the particles can collide on the inner horizon with arbitrarily high CM energy if one of the particles has a critical angular momentum, possible for the BSW process. Here it is essential that, while for the extremal BTZ black hole the particles with critical angular momentum only can exist on the degenerate horizon, for the Lorentz-violating version of the BTZ black hole the particle with critical angular momentum can exist in a region away from the degenerate horizon. It is worth mentioning that the results exposed in this manuscript can be applied for the covariant version of Hořava gravity, where the covariant definition of the center-of-mass energy is well defined.

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Particle collisions near a three-dimensional warped AdS black hole

Cited by 10 publications

References 105 publications

Motion and collision of particles in a rotating linear dilaton black hole

Motion and collision of particles in a rotating linear dilaton black hole

Quasi Periodic Oscillations of Test Particles and Red-Blue Shifts of the Photons Emitted By the Charged Test Particles Orbiting the Charged Black Hole in the Presence of Quintessence and Clouds of Strings

Collision of particles near a three-dimensional rotating Hořava AdS black hole

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