Gravitational bremsstrahlung in ultra-planckian collisions

Abstract

A classical computation of gravitational bremsstrahlung in ultra-planckian collisions of massive point particles is presented in an arbitrary number d of toroidal or non-compact extra dimensions. Our method generalizes the post-linear formalism of General Relativity to the multidimensional case. The total emitted energy, as well as its angular and frequency distribution are discussed in detail. In terms of the gravitational radius r_S of the collision energy, the impact parameter b and the Lorentz factor in the CM frame, the leading order radiation efficiency in the Lab frame is shown to be of order (r_S/b)^{3(d+1)} gamma_{cm} for d=0, 1 and of order (r_S/b)^{3(d+1)} gamma_{cm}^{2d-3} for d>1, up to a known d-dependent coefficient and a ln gamma_{cm} factor for d=2, while the characteristic frequency of the radiation is gamma/b. The contribution of the low frequency part of the radiation (soft gravitons) to the total radiated energy is shown to be negligible for all values of d. The domain of validity of the classical result is discussed. Finally, it is shown that within the region of validity of our approach the efficiency can obtain unnatural values greater than one, which is interpreted to mean that the peripheral ultra-planckian collisions should be strongly radiation damped.

38 pages, 5 figures

References in corpus (24)

• The high-energy collision of two black holes
• The Hyperfine Einstein-Infeld-Hoffmann Potential
• Black Hole Mergers and Unstable Circular Orbits
• Effective field theory calculation of second post-Newtonian binary dynamics
• Non-Relativistic Gravitation: From Newton to Einstein and Back
• Classical Effective Field Theory and Caged Black Holes
• Towards an S-matrix Description of Gravitational Collapse
• Les Houches Lectures on Effective Field Theories and Gravitational Radiation
• Black hole formation in the head-on collision of ultrarelativistic charges
• Black Holes at LHC?
• What Black Holes Can Teach Us
• Black Hole Cross Section at the Large Hadron Collider
• Radiation Beyond Four Space-Time Dimensions
• Close-slow analysis for head-on collision of two black holes in higher dimensions: Bowen-York initial data
• S-matrix and Quantum Tunneling in Gravitational Collapse
• Self-Interaction and Regularization of Classical Electrodynamics in Higher Dimensions
• Classical ultrarelativistic bremsstrahlung in extra dimensions
• Gravitational Larmor formula in higher dimensions
• Classical and Non-Classical ADD-phenomenology with high-ET jet observables at collider experiments
• On the Problem of Radiation Friction Beyond 4 and 6 Dimensions
• Radiation from a D-dimensional collision of shock waves: higher order set up and perturbation theory validity
• Classical ultra-relativistic scattering in ADD
• Black Hole Production at a TeV
• Gravitational Radiation from Ultra High Energy Cosmic Rays in Models with Large Extra Dimensions

Cited by in corpus (11)

• Black holes, gravitational waves and fundamental physics: a roadmap
• Gravity Waves from Soft Theorem in General Dimensions
• Analytic approximations, perturbation theory, effective field theory methods and their applications
• Perforation of domain wall by point mass
• Synchrotron radiation in odd dimensions
• Piercing of domain walls: new mechanism of gravitational radiation
• Branestrahlung: radiation in the particle-brane collision
• Vector Bremsstrahlung by Ultrarelativistic Collisions in Higher Dimensions
• Gravitational radiation in massless-particle collisions
• Duality and Decay of Macroscopic F-Strings
• Bremsstrahlung and black hole production from collisions of ultra-boosted particles at non-zero impact parameter