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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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.
|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.|
|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|
|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.|
|Deposited By:||Ruth Sustaita|
|Deposited On:||31 May 2012 22:46|
|Last Modified:||07 Nov 2012 23:44|
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