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On a Lagrangian formulation of gravitoelectromagnetism

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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, \({\mathcal {F}_{\mu\nu\lambda}}\), defined in terms of a two-index gravitoelectromagnetic potential, \({\mathcal {A}_{\mu\nu}}\). 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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Authors and Affiliations

  1. Theoretical Physics Institute, University of Alberta, Edmonton, AB, T6G 2J1, Canada

    Jairzinho Ramos, Marc de Montigny & Faqir C. Khanna

  2. Campus Saint-Jean, University of Alberta, Edmonton, AB, T6C 4G9, Canada

    Marc de Montigny

  3. TRIUMF, 4004 Westbrook Mall, Vancouver, BC, V6T 2A3, Canada

    Faqir C. Khanna

Authors
  1. Jairzinho Ramos
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  2. Marc de Montigny
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  3. Faqir C. Khanna
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Correspondence to Jairzinho Ramos.

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Ramos, J., de Montigny, M. & Khanna, F.C. On a Lagrangian formulation of gravitoelectromagnetism. Gen Relativ Gravit 42, 2403–2420 (2010). https://doi.org/10.1007/s10714-010-0990-8

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