On a Lagrangian formulation of gravitoelectromagnetism

Details On a Lagrangian formulation of gravitoelectromagnetism On a Lagrangian formulation of gravitoelectromagnetism

Oct 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010gregr..42.2403r&link_type=abstract

General Relativity and Gravitation, Volume 42, Issue 10, pp.2403-2420

Mathematics

Gravitoelectromagnetism, Lagrangian Formalism, General Relativity, Gauge Fields

Scientific paper

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}_{μνλ}}, defined in terms of a two-index gravitoelectromagnetic potential, {mathcal {A}_{μν}}. 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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