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Reference frames and the physical gravito-electromagnetic analogy

Published online by Cambridge University Press:  06 January 2010

L. Filipe O. Costa  and
Carlos A. R. Herdeiro
L. Filipe O. Costa
Affiliation:
Centro de Física do Porto e Departamento de Física da Universidade do Porto, Rua do Campo Alegre 687, 4169-007 Porto, Portugal email: filipezola@fc.up.pt email: crherdei@fc.up.pt
Carlos A. R. Herdeiro
Affiliation:
Centro de Física do Porto e Departamento de Física da Universidade do Porto, Rua do Campo Alegre 687, 4169-007 Porto, Portugal email: crherdei@fc.up.pt
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Abstract

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The similarities between linearized gravity and electromagnetism are known since the early days of General Relativity. Using an exact approach based on tidal tensors, we show that such analogy holds only on very special conditions and depends crucially on the reference frame. This places restrictions on the validity of the “gravito-electromagnetic” equations commonly found in literature.

Keywords

GravitomagnetismFrame DraggingPapapetrou equation
Type
Contributed Papers
Information
Proceedings of the International Astronomical Union , Volume 5 , Symposium S261: Relativity in Fundamental Astronomy: Dynamics, Reference Frames, and Data Analysis , April 2009 , pp. 31 - 39
Copyright
Copyright © International Astronomical Union 2010

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