CaltechAUTHORS
  A Caltech Library Service

Approximating the inspiral of test bodies into Kerr black holes

Glampedakis, Kostas and Hughes, Scott A. and Kennefick, Daniel (2002) Approximating the inspiral of test bodies into Kerr black holes. Physical Review D, 66 (6). Art. No. 064005. ISSN 2470-0010. https://resolver.caltech.edu/CaltechAUTHORS:GLAprd02

[img]
Preview
PDF
See Usage Policy.

158Kb

Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:GLAprd02

Abstract

We present a new approximate method for constructing gravitational radiation driven inspirals of test bodies orbiting Kerr black holes. Such orbits can be fully described by a semilatus rectum p, an eccentricity e, and an inclination angle iota, or, by an energy E, an angular momentum component L-z, and a third constant Q. Our scheme uses expressions that are exact (within an adiabatic approximation) for the rates of change ((p)over dot, (e)over dot, (iota)over dot) as linear combinations of the fluxes ((E)over dot, (L)over dot(z),(Q)over dot), but uses quadrupole-order formulas for these fluxes. This scheme thus encodes the exact orbital dynamics, augmenting it with an approximate radiation reaction. Comparing inspiral trajectories, we find that this approximation agrees well with numerical results for the special cases of eccentric equatorial and circular inclined orbits, far more accurate than corresponding weak-field formulas for ((p)over dot, (e)over dot, (iota)over dot). We use this technique to study the inspiral of a test body in inclined, eccentric Kerr orbits. Our results should be useful tools for constructing approximate waveforms that can be used to study data analysis problems for the future Laser Interferometer Space Antenna gravitational-wave observatory, in lieu of waveforms from more rigorous techniques that are currently under development.


Item Type:Article
Additional Information:©2002 The American Physical Society. Received 8 May 2002; published 12 September 2002. We thank Kip Thorne for pressing us to develop "fast and dirty" techniques to compute inspiral waveforms, and Teviet Creighton for helping to test and debug the code that underlies parts of this analysis. K.G. thanks B.S. Sathyaprakash and Nils Andersson for useful interactions related to this work and also acknowledges support from PPARC Grant PPA/G/0/1999/0214. S.A.H. is supported by NSF Grant PHY-9907949. D.K. is partially supported by NSF Grant PHY-0099568.
Subject Keywords:GRAVITATIONAL-RADIATION REACTION; ARBITRARY MULTIPOLE MOMENTS; NONEQUATORIAL ORBITS; CIRCULAR ORBITS; COMPACT OBJECTS; WAVE EMISSION; SCALAR CHARGE; MASSIVE BODY; SELF-FORCE; EVOLUTION
Issue or Number:6
Record Number:CaltechAUTHORS:GLAprd02
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:GLAprd02
Alternative URL:http://dx.doi.org/10.1103/PhysRevD.66.064005
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:4273
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:11 Aug 2006
Last Modified:02 Oct 2019 23:11

Repository Staff Only: item control page