Shock Wave Mixing in Einstein and Dilaton Gravity

Abstract

We consider possible mixing of electromagnetic and gravitational shock waves, in the Planckian energy scattering of point particles in Minkowski space. By boosting a Reissner-Nordström black hole solution to the velocity of light, it is shown that no mixing of shock waves takes place for arbitrary finite charge carried by the black hole. However, a similar boosting procedure for a charged black hole solution in dilaton gravity yields some mixing : the wave function of even a neutral test particle, acquires a small additional phase factor depending on the dilatonic black hole charge. Possible implications for poles in the amplitudes for the dilaton gravity case are discussed.

11 pages, revtex file, no figures

References in corpus (1)

• Charge-monopole versus Gravitational Scattering at Planckian Energies

Cited by in corpus (6)

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• The contribution of effective quantum gravity to the high energy scattering in the framework of modified perturbation theory and one loop approximation
• Eikonal Particle Scattering and Dilaton Gravity
• Induced On-shell Supersymmetry in Eikonal Scattering
• Aspects of Planckian Scattering beyond the Eikonal
• Planckian Scattering From Kerr Black Holes: Eikonal and Beyond