Improved approximate inspirals of test-bodies into Kerr black holes

Details Improved approximate inspirals of test-bodies into Kerr black holes Improved approximate inspirals of test-bodies into Kerr black holes

2005-10-31

arxiv.org/abs/gr-qc/0510129v2

Phys.Rev. D73 (2006) 064037

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

25 pages, 14 figures, some typos corrected, short section on conservative corrections added, minor changes for consistency wit

Scientific paper

10.1103/PhysRevD.73.064037

We present an improved version of the approximate scheme for generating inspirals of test-bodies into a Kerr black hole recently developed by Glampedakis, Hughes and Kennefick. Their original "hybrid" scheme was based on combining exact relativistic expressions for the evolution of the orbital elements (the semi-latus rectum p and eccentricity e) with approximate, weak-field, formula for the energy and angular momentum fluxes, amended by the assumption of constant inclination angle, iota, during the inspiral. Despite the fact that the resulting inspirals were overall well-behaved, certain pathologies remained for orbits in the strong field regime and for orbits which are nearly circular and/or nearly polar. In this paper we eliminate these problems by incorporating an array of improvements in the approximate fluxes. Firstly, we add certain corrections which ensure the correct behaviour of the fluxes in the limit of vanishing eccentricity and/or 90 degrees inclination. Secondly, we use higher order post-Newtonian formulae, adapted for generic orbits. Thirdly, we drop the assumption of constant inclination. Instead, we first evolve the Carter constant by means of an approximate post-Newtonian expression and subsequently extract the evolution of iota. Finally, we improve the evolution of circular orbits by using fits to the angular momentum and inclination evolution determined by Teukolsky based calculations. As an application of the improved scheme we provide a sample of generic Kerr inspirals and for the specific case of nearly circular orbits we locate the critical radius where orbits begin to decircularise under radiation reaction. These easy-to-generate inspirals should become a useful tool for exploring LISA data analysis issues and may ultimately play a role in source detection.

Affiliated with

Also associated with

No associations

Rating

Improved approximate inspirals of test-bodies into Kerr black holes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Improved approximate inspirals of test-bodies into Kerr black holes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Improved approximate inspirals of test-bodies into Kerr black holes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-292276