A Caltech Library Service

Dissipation in extreme mass-ratio binaries with a spinning secondary

Akcay, Sarp and Dolan, Sam R. and Kavanagh, Chris and Moxon, Jordan and Warburton, Niels and Wardell, Barry (2020) Dissipation in extreme mass-ratio binaries with a spinning secondary. Physical Review D, 102 (6). Art. No. 064013. ISSN 2470-0010. doi:10.1103/physrevd.102.064013.

[img] PDF - Published Version
See Usage Policy.

[img] PDF - Submitted Version
See Usage Policy.


Use this Persistent URL to link to this item:


We present the gravitational-wave flux balance law in an extreme mass-ratio binary with a spinning secondary. This law relates the flux of energy (angular momentum) radiated to null infinity and through the event horizon to the local change in the secondary’s orbital energy (angular momentum) for generic, nonresonant bound orbits in Kerr spacetime. As an explicit example we compute these quantities for a spin-aligned body moving on a circular orbit around a Schwarzschild black hole. We perform this calculation both analytically, via a high-order post-Newtonian expansion, and numerically in two different gauges. Using these results we demonstrate explicitly that our new balance law holds.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Moxon, Jordan0000-0001-9891-8677
Warburton, Niels0000-0003-0914-8645
Wardell, Barry0000-0001-6176-9006
Additional Information:© 2020 American Physical Society. (Received 9 March 2020; accepted 11 June 2020; published 9 September 2020) This work makes use of the Black Hole Perturbation Toolkit. S. A. acknowledges support by the EU H2020 under ERC Starting Grant No. BinGraSp-714626. N. W. gratefully acknowledges support from a Royal Society–Science Foundation Ireland University Research Fellowship. We thank Adam Pound and Abraham Harte for helpful discussions, and thank Josh Mathews and Geoffrey Compère for comments on a draft of this work. S. D. acknowledges financial support from the Science and Technology Facilities Council (STFC) under Grant No. ST/P000800/1, and from the European Union’s Horizon 2020 research and innovation programme under the H2020-MSCA-RISE-2017 Grant No. FunFiCO-777740. J. M. acknowledges support by the Sherman Fairchild Foundation and by NSF Grants No. PHY-1708212, No. PHY-1708213 and No. OAC-1931280 at Caltech.
Funding AgencyGrant Number
European Research Council (ERC)714626
Science Foundation, IrelandUNSPECIFIED
Science and Technology Facilities Council (STFC)ST/P000800/1
European Research Council (ERC)777740
Sherman Fairchild FoundationUNSPECIFIED
Issue or Number:6
Record Number:CaltechAUTHORS:20200911-133136248
Persistent URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:105342
Deposited By: George Porter
Deposited On:12 Sep 2020 15:05
Last Modified:16 Nov 2021 18:42

Repository Staff Only: item control page