On the Method of Virtual Quanta and Gravitational Radiation

Details On the Method of Virtual Quanta and Gravitational Radiation On the Method of Virtual Quanta and Gravitational Radiation

Feb 1974

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974rspsa.336..285m&link_type=abstract

Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Volume 336, Issue 1606, pp. 285-305

Physics

17

Scientific paper

We extend the Weizsacker-Williams method of virtual quanta to the domain of gravitational encounters and set up a correlation between collision problems and the corresponding interaction of gravitational radiation. In the local rest frame of a relativistic test particle the gravitational field of a Schwarzschild mass consists predominantly of a pulse of plane-fronted gravitational waves. We Fourier analyse this equivalent pulse and consider the scattering of each frequency component, virtual quanta, by the test body. The scattering by the long-range Newtonian-type field of a point particle is described by the analogue of the Rutherford cross-section. The escape of this scattered flux to infinity, suitably transformed, gives us the radiative loss of gravitational energy by a rapidly moving particle. The radiation spectrum and total energy radiated in a distant brehmsstrahlung encounter are computed as an example.

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