scholarly journals Particle Collisions in the Lower Dimensional Rotating Black Hole Space-Time with the Cosmological Constant

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Jie Yang ◽  
Yun-Liang Li ◽  
Yang Li ◽  
Shao-Wen Wei ◽  
Yu-Xiao Liu
Keyword(s):  
Black Hole ◽  
Angular Momentum ◽  
Particle Energy ◽  
Fine Tuning ◽  
Ultrahigh Energy ◽  
Particle Collisions ◽  
Btz Black Hole ◽  
Inner Horizon ◽  
Bsw Effect ◽  
Critical Angular Momentum

We study the effect of ultrahigh energy collisions of two particles with different energies near the horizon of a2+1dimensional BTZ black hole (BSW effect). We find that the particle with the critical angular momentum could exist inside the outer horizon of the BTZ black hole regardless of the particle energy. Therefore, for the nonextremal BTZ black hole, the BSW process is possible on the inner horizon with the fine tuning of parameters which are characterized by the motion of particle, while, for the extremal BTZ black hole, the particle with the critical angular momentum could only exist on the degenerated horizon, and the BSW process could also happen there.

scholarly journals ACCELERATION OF PARTICLES BY QUASIBLACK HOLES

2013 ◽  
Vol 22 (06) ◽  
pp. 1350028 ◽  
Author(s):  
O. B. ZASLAVSKII
Keyword(s):  
Black Hole ◽  
Angular Momentum ◽  
Electric Charge ◽  
Center Of Mass ◽  
Finite Energy ◽  
Fine Tuning ◽  
Black Hole Horizon ◽  
Acceleration Of Particles ◽  
Bsw Effect

If two particles collide near the black hole horizon, the energy in their center of mass (CM) frame can grow indefinitely (the so-called Bañados, Silk and West (BSW) effect). This requires fine-tuning the parameters (the energy–momentum, angular momentum or electric charge) of one particle. We show that the CM energy can be unbound also for collisions in the spacetime of quasiblack holes (QBHs) (the objects on the threshold of forming the horizon which do not collapse). It does not require special fine-tuning of parameters and occurs when any particle inside a QBH having a finite energy collides with the particle that entered a QBH from the outside region.

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

2021 ◽  
Vol 81 (3) ◽  
Author(s):  
Ramón Bécar ◽  
P. A. González ◽  
Yerko Vásquez
Keyword(s):  
Black Hole ◽  
Angular Momentum ◽  
Lorentz Invariance ◽  
Center Of Mass ◽  
Three Dimensional ◽  
Particle Accelerator ◽  
Btz Black Hole ◽  
Center Of Mass Energy ◽  
Horava Gravity ◽  
Critical Angular Momentum

AbstractWe 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.

scholarly journals Thermodynamic Volume Product in Spherically Symmetric and Axisymmetric Spacetime

2018 ◽  
Vol 2018 ◽  
pp. 1-15
Author(s):  
Parthapratim Pradhan
Keyword(s):  
Black Hole ◽  
Einstein Gravity ◽  
Spherically Symmetric ◽  
Btz Black Hole ◽  
Extended Phase ◽  
Inner Horizon ◽  
Ads Spacetime ◽  
Volume Product ◽  
Axisymmetric Spacetime ◽  
Mass Dependent

We have examined the thermodynamic volume products for spherically symmetric and axisymmetric spacetime in the framework of extended phase space. Such volume products are usually formulated in terms of the outer horizon (H+) and the inner horizon (H-) of black hole (BH) spacetime. Besides volume product, the other thermodynamic formulations like volume sum, volume minus, and volume division are considered for a wide variety of spherically symmetric spacetime and axisymmetric spacetime. Like area (or entropy) product of multihorizons, the mass-independent (universal) features of volume products sometimes also fail. In particular, for a spherically symmetric AdS spacetime, the simple thermodynamic volume product of H± is not mass-independent. In this case, more complicated combinations of outer and inner horizon volume products are indeed mass-independent. For a particular class of spherically symmetric cases, i.e., Reissner Nordström BH of Einstein gravity and Kehagias-Sfetsos BH of Hořava Lifshitz gravity, the thermodynamic volume products of H± are indeed universal. For axisymmetric class of BH spacetime in Einstein gravity, all the combinations are mass-dependent. There has been no chance to formulate any combinations of volume product relation to be mass-independent. Interestingly, only the rotating BTZ black hole in 3D provides that the volume product formula is mass-independent, i.e., universal, and hence it is quantized.

scholarly journals Ultrahigh energy particle collisions near the black hole horizon in the strong magnetic field

2014 ◽  
Vol 29 (21) ◽  
pp. 1450112 ◽  
Author(s):  
O. B. Zaslavskii
Keyword(s):  
Magnetic Field ◽  
Black Hole ◽  
Strong Magnetic Field ◽  
Center Of Mass ◽  
Black Hole Horizon ◽  
Ultrahigh Energy ◽  
Particle Collisions ◽  
Energy Particle ◽  
Neutral Particles ◽  
Mass Frame

We consider collision between two charged (or charged and neutral) particles near the black hole horizon in the strong magnetic field B. It is shown that there exists a strip near the horizon within which collision of any two such particles leads to ultrahigh energy in the center-of-mass frame (CM frame). The results apply to generic (not necessarily vacuum) black holes.

scholarly journals High energy particle collisions and geometry of horizon

2016 ◽  
Vol 25 (10) ◽  
pp. 1650095 ◽  
Author(s):  
O. B. Zaslavskii
Keyword(s):  
Black Hole ◽  
Center Of Mass ◽  
Naked Singularity ◽  
High Energy ◽  
Fine Tuning ◽  
High Energy Particle ◽  
Axially Symmetric ◽  
Particle Collisions ◽  
Material Source ◽  
Mass Frame

We consider collision of two geodesic particles near the lightlike surface (black hole horizon or naked singularity) of such an axially symmetric rotating or static metric that the coefficient [Formula: see text] on this surface. It is shown that the energy in the center of mass frame [Formula: see text] is indefinitely large even without fine-tuning of particles’ parameters. Kinematically, this is the collision between two rapid particles that approach the horizon almost with the speed of light but at different angles (or they align along the normal to the horizon too slowly). The latter is the reason why the relative velocity tends to that of light, hence to high [Formula: see text]. Our approach is model-independent. It relies on general properties of geometry and is insensitive to the details of material source that supports the geometries of the type under consideration. For several particular models (the stringy black hole, the Brans–Dicke analogue of the Schwarzschild metric and the Janis–Newman–Winicour one) we recover the results found in literature previously.

scholarly journals Angular Momentum of the BTZ Black Hole in the Teleparallel Geometry

2005 ◽  
Vol 114 (6) ◽  
pp. 1179-1190 ◽  
Author(s):  
A. A. Sousa ◽  
R. B. Pereira ◽  
J. F. d. Rocha-Neto
Keyword(s):  
Black Hole ◽  
Angular Momentum ◽  
Btz Black Hole

COLLISION ENERGY IN THE CENTER-OF-MASS FRAME FOR ROTATING AND ACCELERATING BLACK HOLES

2012 ◽  
Vol 27 (03) ◽  
pp. 1250017 ◽  
Author(s):  
IBRAR HUSSAIN
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Angular Momentum ◽  
Collision Energy ◽  
Center Of Mass ◽  
The Other ◽  
Extremal Case ◽  
Mass Frame ◽  
Critical Angular Momentum ◽  
Proper Angular Momentum

The center-of-mass (CM) energy of collision for two uncharged particles falling freely from rest at infinity is investigated in the background of charged, rotating and accelerating black hole. It is found that the CM energy of collision is unlimited at the acceleration horizon and at the event horizon (in the extremal case) if one of the colliding particles has critical angular momentum and the other one has a proper angular momentum such that the particle can reach the horizon.

scholarly journals EXACT RESULTS FOR THE BTZ BLACK HOLE

2001 ◽  
Vol 10 (06) ◽  
pp. 833-857 ◽  
Author(s):  
DANNY BIRMINGHAM ◽  
IVO SACHS ◽  
SIDDHARTHA SEN
Keyword(s):  
Black Hole ◽  
General Structure ◽  
Three Dimensional ◽  
Point Particle ◽  
Exact Results ◽  
Particle Collisions ◽  
Btz Black Hole ◽  
Conformal Field ◽  
Black Hole Spacetime

In this review, we summarize exact results for the three-dimensional BTZ black hole. We use rigorous mathematical results to clarify the general structure and properties of this black hole spacetime and its microscopic description. In particular, we study the formation of the black hole by point particle collisions, leading to an exact analytic determination of the Choptuik scaling parameter. We also show that a "No Hair Theorem" follows immediately from a mathematical theorem of hyperbolic geometry, due to Sullivan. A microscopic understanding of the Bekenstein–Hawking entropy, and decay rate for massless scalars, is shown to follow from standard results of conformal field theory.

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