scholarly journals Response to “Comment on ‘An exactly solvable two-body problem with retarded interactions and radiation reaction in classical electrodynamics’ ” [J. Math. Phys.39, 5663 (1998)]

1998 ◽  
Vol 39 (10) ◽  
pp. 5664-5664 ◽  
Author(s):  
R. Rivera ◽  
D. Villarroel
Keyword(s):  
Body Problem ◽  
Radiation Reaction ◽  
Classical Electrodynamics ◽  
Two Body Problem ◽  
Exactly Solvable ◽  
Math Phys

The two-body problem: an effective-one-body approach

2018 ◽  
Author(s):  
Nathalie Deruelle ◽  
Jean-Philippe Uzan
Keyword(s):  
Body Problem ◽  
Equations Of Motion ◽  
Reaction Force ◽  
Kerr Black Hole ◽  
Radiation Reaction ◽  
Spherically Symmetric ◽  
Geodesic Motion ◽  
Two Body Problem ◽  
Symmetric Spacetime ◽  
Radiation Reaction Force

This chapter presents the basics of the ‘effective-one-body’ approach to the two-body problem in general relativity. It also shows that the 2PN equations of motion can be mapped. This can be done by means of an appropriate canonical transformation, to a geodesic motion in a static, spherically symmetric spacetime, thus considerably simplifying the dynamics. Then, including the 2.5PN radiation reaction force in the (resummed) equations of motion, this chapter provides the waveform during the inspiral, merger, and ringdown phases of the coalescence of two non-spinning black holes into a final Kerr black hole. The chapter also comments on the current developments of this approach, which is instrumental in building the libraries of waveform templates that are needed to analyze the data collected by the current gravitational wave detectors.

Exactly Solvable Electrodynamic Two‐Body Problem

1970 ◽  
Vol 11 (9) ◽  
pp. 2704-2710 ◽  
Author(s):  
R. A. Rudd ◽  
Robert Nyden Hill
Keyword(s):  
Body Problem ◽  
Two Body Problem ◽  
Exactly Solvable
Sign in / Sign up

Export Citation Format

Share Document