Gravitational waves from a point particle in circular orbit around a black hole: Logarithmic terms in the post-Newtonian expansion
Abstract
We find logarithmic terms in a post-Newtonian expansion of gravitational radiation induced by a particle traveling a circular orbit of radius r0 around a Schwarzschild black hole of mass M. We calculate the gravitational wave luminosity using the Teukolsky equation to high accuracy (~20 figures) and determine the coefficients of the post-Newtonian expansion by means of least squares fitting. We find that there are terms proportional to x6lnx and x8lnx where x=(M/r0)1/2. We also examine the accumulated phase of coalescing compact star binaries by means of the post-Newtonian expansion as it sweeps through the bandwidth at which the future laser interferometric detectors have good sensitivity.
- Publication:
-
Physical Review D
- Pub Date:
- April 1994
- DOI:
- 10.1103/PhysRevD.49.4016
- Bibcode:
- 1994PhRvD..49.4016T
- Keywords:
-
- 04.25.Nx;
- 04.30.Nk;
- Post-Newtonian approximation;
- perturbation theory;
- related approximations;
- Wave propagation and interactions