Indirect (source-free) integration method. II. Self-force consistent radial fall [CL]

http://arxiv.org/abs/1511.04277


We apply our method of indirect integration, described in Part I, at fourth order, to the radial fall affected by the self-force. The Mode-Sum regularisation is performed in the Regge-Wheeler gauge using the equivalence with the harmonic gauge for this orbit. We consider also the motion subjected to a self-consistent and iterative correction determined by the self-force through osculating stretches of geodesics. The convergence of the results confirms the validity of the integration method. This work complements and justifies the analysis and the results appeared in Int. J. Geom. Meth. Mod. Phys., 11, 1450090 (2014).

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P. Ritter, S. Aoudia, A. Spallicci, et. al.
Mon, 16 Nov 15
33/57

Comments: To appear in Int. J. Geom. Meth. Mod. Phys