Gravitational radiation in massless-particle collisions

Abstract

The angular and frequency characteristics of the gravitational radiation emitted in collisions of massless particles is studied perturbatively in the context of classical General Relativity for small values of the ratio $\alpha \equiv 2r_S/b$ of the Schwarzschild radius over the impact parameter. The particles are described with their trajectories, while the contribution of the leading nonlinear terms of the gravitational action is also taken into account. The old quantum results are reproduced in the zero frequency limit $\omega \ll 1/b$. The radiation efficiency $\epsilon \equiv E_{\mathrm{rad}}/2E$ outside a narrow cone of angle $\alpha$ in the forward and backward directions with respect to the initial particle trajectories is given by $\epsilon \sim {\alpha }^2$ and is dominated by radiation with characteristic frequency $\omega \sim \mathcal{O}(1/r_S)$.

arXiv commentJournal version 20 pages, 3 Figures Subsection 4D has been added

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Cited by in corpus (4)

• Classical and quantum scattering in post-Minkowskian gravity
• Infrared features of gravitational scattering and radiation in the eikonal approach
• Unified limiting form of graviton radiation at extreme energies
• Emerging Hawking-like Radiation from Gravitational Bremsstrahlung Beyond the Planck Scale