High-energy head-on collisions of particles and the hoop conjecture

Yoshino, Hirotaka; Nambu, Yasusada

doi:10.1103/physrevd.66.065004

Cited by 77 publications

(87 citation statements)

References 12 publications

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“…This is qualitatively similar to the corresponding situation in flat space [12] as well as in AdS 5 [10]. In Fig.…”

Section: Numerical Analysis Of the Formation Of Marginally Closed Trasupporting

confidence: 74%

“…Because of this we would like to make a change of coordinates that transforms the complicated integration region into a simpler one. Following [12], we define the new dimensionless radial coordinate ρ by…”

Section: Numerical Analysis Of the Formation Of Marginally Closed Tramentioning

confidence: 99%

“…This equation actually simplifies the additional condition (3.11) (3.16) In order to implement the numerical algorithm it is convenient to introduce the dimensionless We can now attack the numerical solution of the boundary problem (3.14), (3.15) subjected to the additional condition (3.16). We follow the procedure used by the authors of [12] and choose a trial function G 1 (θ) to solve the boundary problem (3.14), (3.15) using a method of finite differences. This gives a solution H 1 (ρ, θ) in terms of which we compute Ψ 1 (ρ, θ) = Φ(ρ, θ) − H 1 (ρ, θ).…”

Section: Numerical Analysis Of the Formation Of Marginally Closed Tramentioning

confidence: 99%

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Colliding AdS gravitational shock waves in various dimensions and holography

Dueñas-Vidal

Vázquez-Mozo

2010

J. High Energ. Phys.

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The formation of marginally trapped surfaces in the off-center collision of two shock waves on AdS D (with D = 4, 5, 6, 7 and 8) is studied numerically. We focus on the case when the two waves collide with nonvanishing impact parameter while the sources are located at the same value of the holographic coordinate. In all cases a critical value of the impact parameter is found above which no trapped surface is formed. The numerical results show the existence of a simple scaling relation between the critical impact parameter and the energy of the colliding waves. Using the isometries of AdS D we relate the solutions obtained to the ones describing the collision of two waves with a purely holographic impact parameter. This provides a gravitational dual for the head-on collision of two lumps of energy of unequal size.

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“…This is qualitatively similar to the corresponding situation in flat space [12] as well as in AdS 5 [10]. In Fig.…”

Section: Numerical Analysis Of the Formation Of Marginally Closed Trasupporting

confidence: 74%

Section: Numerical Analysis Of the Formation Of Marginally Closed Tramentioning

confidence: 99%

Section: Numerical Analysis Of the Formation Of Marginally Closed Tramentioning

confidence: 99%

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Colliding AdS gravitational shock waves in various dimensions and holography

Dueñas-Vidal

Vázquez-Mozo

2010

J. High Energ. Phys.

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“…Here, M BH is a lower bound on the final mass of the BH and √ŝ is the center-of-mass energy of the colliding particles, taken as partons. This ratio depends on the impact parameter of the collision, as well as on the dimensionality of spacetime [18].…”

Section: Bh Production and Evaporationmentioning

confidence: 99%

Black holes at the IceCube neutrino telescope

2007

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“…where M D is the 4 + n dimensional reduced Planck mass, extra-dimensions, F (n) and y(z) are the factors introduced by Eardley and Giddings [5] and by Yoshino and Nambu [20]. The 4 + n dimensional Schwarzschild radius is given by…”

mentioning

confidence: 99%

Quantum black holes from cosmic rays

Calmet

Caramete

Micu

2012

J. High Energ. Phys.

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We investigate the possibility for cosmic ray experiments to discover non-thermal small black holes with masses in the TeV range. Such black holes would result due to the impact between ultra high energy cosmic rays or neutrinos with nuclei from the upper atmosphere and decay instantaneously. They could be produced copiously if the Planck scale is in the few TeV region. As their masses are close to the Planck scale, these holes would typically decay into two particles emitted back-to-back. Depending on the angles between the emitted particles with respect to the center of mass direction of motion, it is possible for the simultaneous showers to be measured by the detectors.Introduction: It is now well appreciated that the energy scale at which quantum gravitational effects become important could be anywhere between the traditional Planck scale, i.e. some 10 19 GeV and a few 10 3 GeV. Brane world models with a large extra-dimensional volume [1,2] or with a large hidden sector of particles in 4 dimensions [3], illustrate that quantum gravity effects can be important in the few TeVs region.One of the most exciting implications of low scale quantum gravity model is that small black holes could be produced in the collision of particles with center of mass energies above the Planck scale. The classical production of black holes in the collision of two highly boosted objects has been studied both for zero and non-zero impact parameters by Penrose in the seventies, but he never published his results. The state of the art can be found in more recent seminal papers by D'Eath and collaborators [4] and by Eardley and Giddings [5]. Remarkably, these authors established the formation of a closed trapped surface in such collisions which is a real mathematical tour de force. This work has been extended to the semi-classical regime by Hsu [6]. Small black holes with masses about 5 to 20 times larger than the Planck scale (see [7] for a recent discussion) are accurately described by semi-classical methods.Most up to date studies of the production of small black holes at colliders or in cosmic ray collisions have considered semi-classical black holes [8][9][10][11][12][13][14]. Given the argument mentioned above, it is however clear that the number of semi-classical black holes produced at the LHC would be very small even if the Planck mass was at a TeV. There was a motivation [15][16][17] to consider quantum black hole which are non-thermal objects with masses close to the Planck mass. Because they are non-thermal they are expected to decay only to a few particles, typically two. This implies that quantum black hole signatures are very different from semi-classical objects which are expected to decay into several particles in a final explosion, see e.g. [18] for recent reviews. For the quantum black hole model that we have in mind we do not expect

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High-energy head-on collisions of particles and the hoop conjecture

Cited by 77 publications

References 12 publications

Colliding AdS gravitational shock waves in various dimensions and holography

Colliding AdS gravitational shock waves in various dimensions and holography

Black holes at the IceCube neutrino telescope

Quantum black holes from cosmic rays

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