Shock Wave Mixing in Einstein and Dilaton Gravity

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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11 pages, revtex file, no figures

Scientific paper

10.1016/0370-2693(95)00169-L

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-Nordstr\"om 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.

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