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Black Hole Production in Particle Collisions and Higher Curvature Gravity
High Energy Physics - Phenomenology · Submitted 15 Jan 2004
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim These considerations cast serious doubts on the geometric cross section estimate, which is based on the classical Einstein gravity description of the black hole production process.
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The abstract, sentence by sentence
The problem of black hole production in transplanckian particle collisions is revisited, in the context of large extra dimensions scenarios of TeV-scale gravity. The validity of the standard description of this process (two colliding Aichelburg-Sexl shock waves in classical Einstein gravity) is questioned. It is observed that the classical spacetime has large curvature along the transverse collision plane, as signaled by the curvature invariant (R_ijkl)^2. Thus quantum gravity effects, and in particular higher curvature corrections to the Einstein gravity, cannot be ignored. To give a specific example of what may happen, the collision is re-analyzed in the Einstein-Lanczos-Lovelock gravity theory, which modifies the Einstein-Hilbert Lagrangian by adding a particular `Gauss-Bonnet' combination of curvature squared terms. The analysis uses a series of approximations, which reduce the field equations to a tractable second order nonlinear PDE of the Monge-Ampere type. It is found that the resulting spacetime is significantly different from the pure Einstein case in the future of the transverse collision plane. These considerations cast serious doubts on the geometric cross section estimate, which is based on the classical Einstein gravity description of the black hole production process.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The problem of black hole production in transplanckian particle collisions is revisited, in the context of large extra dimensions scenarios of TeV-scale gravity. | background 0.93 | 0.51 | 0.04 | asserted 0.65 |
| s1 | The validity of the standard description of this process (two colliding Aichelburg-Sexl shock waves in classical Einstein gravity) is questioned. | gap 0.67 | 0.34 | 0.10 | asserted 0.56 |
| s2 | It is observed that the classical spacetime has large curvature along the transverse collision plane, as signaled by the curvature invariant (R_ijkl)^2. | result 0.96 | 0.76 | 0.04 | asserted 0.99 |
| s3 | Thus quantum gravity effects, and in particular higher curvature corrections to the Einstein gravity, cannot be ignored. | interpretation 0.87 | 0.56 | 0.18 | asserted 0.97 |
| s4 | To give a specific example of what may happen, the collision is re-analyzed in the Einstein-Lanczos-Lovelock gravity theory, which modifies the Einstein-Hilbert Lagrangian by adding a particular `Gauss-Bonnet' combination of curvature squared terms. | method 0.56 | 0.85 | 0.05 | hedged possibility 0.56 |
| s5 | The analysis uses a series of approximations, which reduce the field equations to a tractable second order nonlinear PDE of the Monge-Ampere type. | method 1.00 | 0.89 | 0.03 | asserted 1.00 |
| s6 | It is found that the resulting spacetime is significantly different from the pure Einstein case in the future of the transverse collision plane. | result 1.00 | 0.94 | 0.16 | asserted 1.00 |
| s7 | These considerations cast serious doubts on the geometric cross section estimate, which is based on the classical Einstein gravity description of the black hole production process. | interpretation 0.98 | 0.57 | 0.79 | hedged possibility 0.63 |
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Original abstract
The problem of black hole production in transplanckian particle collisions is revisited, in the context of large extra dimensions scenarios of TeV-scale gravity. The validity of the standard description of this process (two colliding Aichelburg-Sexl shock waves in classical Einstein gravity) is questioned. It is observed that the classical spacetime has large curvature along the transverse collision plane, as signaled by the curvature invariant (R_ijkl)^2. Thus quantum gravity effects, and in particular higher curvature corrections to the Einstein gravity, cannot be ignored. To give a specific example of what may happen, the collision is re-analyzed in the Einstein-Lanczos-Lovelock gravity theory, which modifies the Einstein-Hilbert Lagrangian by adding a particular `Gauss-Bonnet' combination of curvature squared terms. The analysis uses a series of approximations, which reduce the field equations to a tractable second order nonlinear PDE of the Monge-Ampere type. It is found that the resulting spacetime is significantly different from the pure Einstein case in the future of the transverse collision plane. These considerations cast serious doubts on the geometric cross section estimate, which is based on the classical Einstein gravity description of the black hole production process.
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References
How the literature uses it
13 arXiv papers cite this in 14 sentences
Papers citing it · 11 sentences without a confident label
Uses its method or tool 2 papers
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A fast way to do this [ref] is to perform a discontinuous coordinate transformation $x →x^'$ in order to make the metric continuous across $x^-=0$.
Including QCD radiation corrections in transplanckian scattering · Eikonal amplitude without radiation · 0.99
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To solve the Klein-Gordon equation across the discontinuity, it is convenient to make a coordinate transformation [ref] , [ref] [equation] In the $x$ coordinates the metric is continuous across $x^-=0$.
Radiation Problem in Transplanckian Scattering · 't Hooft's method · 0.93
Cites it as background 1 paper
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Of course, the simulation of high-velocity collision of black holes is an interesting issue to clarify the effect of higher-curvature terms on mini black hole phenomena at accelerators (see [ref] for a partial result for a head-on collision of the Aichelburg-Sexl particles in GB gravity).
Black hole initial data in Gauss-Bonnet gravity: Momentarily static case · Introduction · 0.81
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