Séminaire de Physique Théorique

Equations of Motion of Schwarzschild, Reissner-Nordstrom and Kerr Particles
Peter Hogan (Dublin)
Thursday 16 May 2013 14:00 -  Tours -  Salle 1180 (Bât E2)

Résumé :
A technique for extracting from the appropriate field equations the relativistic motion of Schwarzschild, Reissner-Nordstrom and Kerr particles moving in external fields is motivated and illustrated. The key assumptions are that (a) the particles are isolated and (b) near the particles the wave fronts of the radiation generated by their motion are smoothly deformed spheres. No divergent integrals arise in this approach. The particles are not test particles. The formalism is used, however, to derive Papapetrou's equations of motion of spinning test particles, neglecting spin-spin terms. References [1] T. Futamase, P. A. Hogan and Y. Itoh, Phys. Rev. D78, 104014 (2008). [2] H. Asada, T. Futamase and P. A. Hogan, Equations of Motion in General Relativity, International Series of Monographs on Physics no.148 (Oxford University Press, Oxford 2011). [3] C. Barrabès and P. A. Hogan, Advanced General Relativity: Gravity Waves, Spinning Particles, and Black Holes, International Series of Monographs on Physics no.160 (Oxford University Press, Oxford 2013).

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