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

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

2000-10-03

arxiv.org/abs/gr-qc/0010007v2

Class.Quant.Grav. 18 (2001) 3989-3994

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Contribution to the Proceedings of the 3rd LISA Symposium

Scientific paper

10.1088/0264-9381/18/19/304

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.

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