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Two-timescale adiabatic expansion of a scalar field model

Mino, Yasushi and Price, Richard H. (2008) Two-timescale adiabatic expansion of a scalar field model. Physical Review D, 77 (6). Art. No. 064001. ISSN 2470-0010.

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The analysis of gravitational wave data may require greater accuracy than is afforded by the adiabatic approximation to the trajectory of and field produced by a particle moving in curved spacetime. Higher accuracy is available with a two-timescale approach using as an expansion parameter the ratio of orbital time to radiation reaction time. To avoid apparent divergences at large distances, the details of the method are important, especially the choice of the foliation, the spacetime surfaces on which the orbital elements are taken to be constant. Here we apply the two-timescale approach to a simple linear model to demonstrate the details of the method. In particular we use it to show that a null foliation avoids large-distance divergences in the first-order post-adiabatic approximation, and we argue that this will be true more generally for a null foliation.

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Additional Information:©2008 The American Physical Society. (Received 31 December 2007; published 3 March 2008) We gratefully acknowledge support for this work under NSF grants PHY-0601459 and PHY-0554367, by the Brinson Foundation, and by the Center for Gravitational Wave Astronomy. We thank Éanna Flanagan for helpful suggestions.
Issue or Number:6
Record Number:CaltechAUTHORS:MINprd08b
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:9719
Deposited By: Archive Administrator
Deposited On:10 Mar 2008
Last Modified:03 Oct 2019 00:03

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