Towards the solution of the relativistic gravitational radiation reaction problem for binary black holes

Abstract

Here we present the results of applying the generalized Riemann zeta-function regularization method to the gravitational radiation reaction problem. We analyze in detail the headon collision of two nonspinning black holes with extreme mass ratio. The resulting reaction force on the smaller hole is repulsive. We discuss the possible extensions of these method to generic orbits and spinning black holes. The determination of corrected trajectories allows to add second perturbative corrections with the consequent increase in the accuracy of computed waveforms.

Contribution to the Proceedings of the 3rd LISA Symposium

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• Gravitational Waves from binary black holes in the extreme mass ratio regime: Self-force calculations
• Indirect (source-free) integration method. II. Self-force consistent radial fall
• Perturbation method in the assessment of radiation reaction in the capture of stars by black holes
• Free fall and self-force: an historical perspective