A Caltech Library Service

Scalar self-force for eccentric orbits around a Schwarzschild black hole

Vega, Ian and Wardell, Barry and Diener, Peter and Cupp, Samuel and Haas, Roland (2013) Scalar self-force for eccentric orbits around a Schwarzschild black hole. Physical Review D, 88 (8). Art. No. 084021. ISSN 2470-0010.

PDF - Published Version
See Usage Policy.

PDF - Submitted Version
See Usage Policy.


Use this Persistent URL to link to this item:


We revisit the problem of computing the self-force on a scalar charge moving along an eccentric geodesic orbit around a Schwarzschild black hole. This work extends previous scalar self-force calculations for circular orbits, which were based on a regular “effective” point-particle source and a full 3D evolution code. We find good agreement between our results and previous calculations based on a (1+1) time-domain code. Finally, our data visualization is unconventional: we plot the self-force through full radial cycles to create “self-force loops,” which reveal many interesting features that are less apparent in standard presentations of eccentric-orbit self-force data.

Item Type:Article
Related URLs:
URLURL TypeDescription 10.1103/PhysRevD.88.084021DOIArticle Paper
Haas, Roland0000-0003-1424-6178
Additional Information:© 2013 American Physical Society. Received 24 July 2013; published 15 October 2013. The authors thank Niels Warburton, Norichika Sago, Eric Poisson, Steven Detweiler, and Frank Löffler for helpful comments and many fruitful discussions that helped shape this work. I.V. acknowledges partial financial support from the European Research Council under the European Union’s Seventh Framework Programme (FP7/2007-2013)/ ERC Grant No. 306425 "Challenging General Relativity" and from the Marie Curie Career Integration Grant LIMITSOFGR-2011-TPS, and would like to thank the hospitality of Jose Perico Esguerra and the National Institute of Physics, University of the Philippines-Diliman, where parts of this manuscript were written. B.W. gratefully acknowledges support from Science Foundation Ireland under Grant No. 10/RFP/PHY2847. Portions of this research were conducted with high performance computational resources provided by the Louisiana Optical Network Initiative ( and also used the Extreme Science and Engineering Discovery Environment, which is supported by National Science Foundation Grant No. OCI-1053575 (allocation TG-MCA02N014). The authors additionally wish to acknowledge the SFI/HEA Irish Centre for High-End Computing (ICHEC) for the provision of computational facilities and support (project ndast005b). Some computations were also performed on the Datura cluster at the Albert Einstein Institute.
Funding AgencyGrant Number
European Research Council (ERC) European Community Seventh Framework Programme306425
Marie Curie Career IntegrationLIMITSOFGR-2011-TPS
Science Foundation Ireland10/RFP/PHY2847
Issue or Number:8
Classification Code:PACS: 04.25.Nx, 04.25.D-, 04.30.-w, 04.70.Bw
Record Number:CaltechAUTHORS:20131125-140843642
Persistent URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:42691
Deposited By: Jason Perez
Deposited On:05 Dec 2013 18:39
Last Modified:09 Mar 2020 13:18

Repository Staff Only: item control page