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Post-Newtonian approximation in Maxwell-like form

Kaplan, Jeffrey D. and Nichols, David A. and Thorne, Kip S. (2009) Post-Newtonian approximation in Maxwell-like form. Physical Review D, 80 (12). Art. No. 124014. ISSN 1550-7998 .

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The equations of the linearized first post-Newtonian approximation to general relativity are often written in “gravitoelectromagnetic” Maxwell-like form, since that facilitates physical intuition. Damour, Soffel, and Xu (DSX) (as a side issue in their complex but elegant papers on relativistic celestial mechanics) have expressed the first post-Newtonian approximation, including all nonlinearities, in Maxwell-like form. This paper summarizes that DSX Maxwell-like formalism (which is not easily extracted from their celestial mechanics papers), and then extends it to include the post-Newtonian (Landau-Lifshitz-based) gravitational momentum density, momentum flux (i.e. gravitational stress tensor), and law of momentum conservation in Maxwell-like form. The authors and their colleagues have found these Maxwell-like momentum tools useful for developing physical intuition into numerical-relativity simulations of compact binaries with spin.

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Additional Information:© 2009 The American Physical Society. Received 18 August 2008; revised 25 February 2009; published 10 December 2009. For helpful discussions we thank Yanbei Chen and Drew Keppel. We also thank Luc Blanchet for bringing references [16,27] to our attention, and anonymous referees for helpful critiques and suggestions. This research was supported in part by NSF Grant Nos. PHY-0601459 and PHY-0653653.
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Classification Code:PACS: 04.25.Nx, 04.20.Cv, 04.25.-g
Record Number:CaltechAUTHORS:20100121-095529963
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:17264
Deposited By: Tony Diaz
Deposited On:27 Jan 2010 03:30
Last Modified:26 Dec 2012 11:43

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