Post-Newtonian Approximation in Maxwell-Like Form

Details Post-Newtonian Approximation in Maxwell-Like Form Post-Newtonian Approximation in Maxwell-Like Form

2008-08-19

arxiv.org/abs/0808.2510v4

Phys.Rev.D80:124014,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

v4: Revised for resubmission to Phys Rev D, 6 pages. v3: Reformulated in terms of DSX papers. Submitted to Phys Rev D, 6 pages

Scientific paper

10.1103/PhysRevD.80.124014

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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