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EFT approach to general relativity: correction to EIH Lagrangian due to electromagnetic charge

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arxiv 2009.11107 v1 pith:7FDFBPXK submitted 2020-09-23 gr-qc hep-th

classification gr-qchep-th
keywords chargeelectromagneticfieldphotonbinaryconstituentsgeneralincorporate
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We extend the Non-Relativistic formulation of General Relativity (NRGR) given in Goldberger et al. (Phys Rev D 73:104029, 2006) to incorporate the effects of electromagnetic charge of the constituents of the binary. We incorporate the photon field in NRGR by giving the field decomposition and power counting rules. Using these, we develop the Feynman rules to describe photon and graviton interactions with point particle worldline. We then find the corrections to the Einstein-Infeld-Hoffmann Lagrangian (Einstein et al. in Ann Math 39:65-100, 1938) due to the presence of the photon field and electromagnetic charge of the constituents of the binary.

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  1. Classical Black Hole Scattering to Celestial Amplitudes in Effective Theories of Gravity

    hep-th 2026-08 conditional novelty 3.0 of 10

    A doctoral thesis reproduces the author's published post-Newtonian and post-Minkowskian two-body observables and celestial amplitudes in scalar-tensor, Chern-Simons, Einstein-Maxwell-dilaton, and quadratic gravity.

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