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A nonlinear scalar model of extreme mass ratio inspirals in effective field theory: I. Self-force through third order

Galley, Chad R. (2012) A nonlinear scalar model of extreme mass ratio inspirals in effective field theory: I. Self-force through third order. Classical and Quantum Gravity, 29 (1). Art. No. 015010. ISSN 0264-9381. http://resolver.caltech.edu/CaltechAUTHORS:20120531-152318620

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Abstract

The motion of a small compact object in a background spacetime is investigated in the context of a model nonlinear scalar field theory. This model is constructed to have a perturbative structure analogous to the general relativistic description of extreme mass ratio inspirals (EMRIs). We apply the effective field theory approach to this model and calculate the finite part of the self-force on the small compact object through third order in the ratio of the size of the compact object to the curvature scale of the background (e.g. black hole) spacetime. We use well-known renormalization methods and demonstrate the consistency of the formalism in rendering the self-force finite at higher orders within a point particle prescription for the small compact object. This nonlinear scalar model should be useful for studying various aspects of higher-order self-force effects in EMRIs but within a comparatively simpler context than the full gravitational case. These aspects include developing practical schemes for higher-order self-force numerical computations, quantifying the effects of transient resonances on EMRI waveforms and accurately modeling the small compact object's motion for precise determinations of the parameters of detected EMRI sources.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1088/0264-9381/29/1/015010DOIUNSPECIFIED
http://iopscience.iop.org/0264-9381/29/1/015010/PublisherUNSPECIFIED
Additional Information:© 2012 Institute of Physics. Received 29 September 2011. Published 13 December 2011. We thank Tanja Hinderer, Michele Vallisneri, Ian Vega and Steven Detweiler for very helpful comments and discussions. This work was supported in part by an appointment to the NASA Postdoctoral Program at the Jet Propulsion Laboratory administered by Oak Ridge Associated Universities through a contract with NASA and in part by National Science Foundation grants PHY0801213 and PHY0908457.
Group:TAPIR
Funders:
Funding AgencyGrant Number
NASA Postdoctoral ProgramUNSPECIFIED
NSFPHY0801213
NSFPHY0908457
Subject Keywords:Gravitation and cosmology Particle physics and field theory
Classification Code:PACS: 04.25.Wx, 04.30.Db, 11.27.+d, 11.10.Lm, 11.15.Bt, 04.20.Gz, 11.10.Gh, 04.62.+v, 04.50.-h. MSC: 83C75, 81T15
Record Number:CaltechAUTHORS:20120531-152318620
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20120531-152318620
Official Citation: A nonlinear scalar model of extreme mass ratio inspirals in effective field theory: I. Self-force through third order Chad R Galley 2012 Class. Quantum Grav. 29 015010
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:31758
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:31 May 2012 22:46
Last Modified:25 Feb 2014 23:13

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