On a Lagrangian formulation of gravitoelectromagnetism

Author： Ramos Jairzinho   Montigny Marc   Khanna Faqir  

Publisher： Springer Publishing Company

ISSN： 0001-7701

Source： General Relativity and Gravitation, Vol.42, Iss.10, 2010-10, pp. : 2403-2420

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Abstract

We examine a Lagrangian formulation of gravity based on an approach analogous to electromagnetism, called Gravitoelectromagnetism (GEM). The gravitational analogue of the electromagnetic field tensor is a three-index tensor, $${mathcal {F}_{mu ulambda}}$$ , defined in terms of a two-index gravitoelectromagnetic potential, $${mathcal {A}_{mu u}}$$ . The energy-momentum tensor is derived and is symmetric. We construct a Lagrangian which allows us to describe interactions between fermions, photons and gravitons. We calculate transition amplitudes of various processes involving gravitons: gravitational Møller scattering, gravitational Compton scattering, and the graviton photoproduction.

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