Classical black hole production in high-energy collisions

By D. Eardley, S. Giddings. 2002

420 citations recorded by the source corpus.

We investigate the classical formation of a D-dimensional black hole in a high-energy collision of two particles. The existence of an apparent horizon is related to the solution of an unusual boundary-value problem for Poisson's equation in flat space. For a sufficiently small impact parameter, we construct solutions giving such apparent horizons in $D=4.$ These supply improved estimates of the classical cross section for black hole production, and of the mass of the resulting black holes. We also argue that a horizon can be found in a region of weak curvature, suggesting that these solutions are valid starting points for a semiclassical analysis of quantum black hole formation.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/34f8440dee6642904200e004bac17c92b3a0c7f2

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. S. Gubser
2. G. Horowitz
3. S. Hartnoll
4. Oliver DeWolfe
5. Silviu S. Pufu
6. A. Yarom
7. S. Giddings
8. J. Polchinski

In Nuclear and High Energy Physics

1. S. Gubser
2. S. Hartnoll
3. Silviu S. Pufu
4. G. Horowitz
5. Oliver DeWolfe
6. S. Giddings
7. V. Hubeny
8. A. Yarom

In Statistical and Nonlinear Physics

1. Silviu S. Pufu
2. G. Horowitz
3. S. Gubser
4. A. Yarom
5. S. Hartnoll
6. J. Polchinski
7. D. Harlow
8. S. Giddings

Citations in the corpus

• Minimal Length Scale Scenarios for Quantum Gravity (2012, background): “The Hoop conjecture is unproven, but we know from both analytical and numerical studies that it holds to very good precision [107, 168].”
• Instability of spacelike and null orbifold singularities (2002, background): “In four spacetime dimensions, a trapped surface has been found [18] provided the impact parameter satisfies the bound (1).”
• Rotating black holes at future colliders: Greybody factors for brane fields (2002, neutral): “2l + 1 4π ]1/2 ( sin ϑ 2 )2l × ∑ j ( l − s j )( l + s j + s−m ) (−1)l−j−s ( cot ϑ 2 )2j+s−m , (22) with the sum over j being understood in the range satisfying both 0 ≤ j ≤ l − s and 0 ≤ j + s − m ≤ l + s.”
• Improved analysis of black hole formation in high-energy particle collisions (2005, methodology): “[17] D. M. Eardley and S. B. Giddings, “Classical black hole production in high-energy collisions,” Phys.”
• Entropy production in collisions of gravitational shock waves and of heavy ions (2008, methodology): “(10)One can also use a more sophisticated shift, similar in spirit to the one used in [50] where xi and z are shifted and the resultant metric becomes continuous at u = 0.”
• Towards an S-matrix description of gravitational collapse (2007, methodology): “It is tempting to think of these as quantum analogs of the black-holes that are expected to be formed on glassical grounds [5].”
• Black-hole binaries, gravitational waves, and numerical relativity (2010, background): “In the trans-Planckian energy limit, some particle collisions may be describable by classical black-hole dynamics (Banks and Fischler, 1999; Eardley and Giddings, 2002).”
• Scales and hierarchies in warped compactifications and brane worlds (2002, background): “A general argument for classical black hole formation at high energies appears in [27].”