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2014 | OriginalPaper | Chapter

Hidden Momentum in the Framework of Gravitoelectromagnetism

Author : L. Filipe O. Costa

Published in: Progress in Mathematical Relativity, Gravitation and Cosmology

Publisher: Springer Berlin Heidelberg

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Abstract

A still not well understood feature of extended bodies in general relativity is the fact that their momentum is not, in general, parallel to the center of mass 4-velocity—the body is said to have “hidden momentum”. It can be split in two main types, a physical one that is gauge invariant, and the pure gauge hidden momentum that arises from the spin supplementary condition. In this paper I focus on the latter, using the formalism of gravitoelectromagnetism, which yields an easy way of understanding it, and under which conditions it arises.

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Footnotes
1
This gravitomagnetic field differs by a factor of 2 from the most usual one in the context of experimental gravitomagnetism, \(H_{(\varOmega =\omega )}^{\alpha } = {2\omega }^{\alpha }\), obtained by demanding the triads e i to co-rotate with the congruence (\({\varOmega }^{\alpha } {=\omega }^{\alpha }\)). The frame of “the distant stars”, relative to which gyroscope and orbital precessions are measured, is set up in this way, see [2] for details.
 
2
This is a generalization of the condition introduced by Corinaldesi–Papapetrou (CP) for the Schwarzschild spacetime (see in [4]).
 
Literature
1.
Babson, D., Reynolds, S., Bjorquist, R., Griffiths, D. J., Am. J. Phys. 77, 826 (2009)CrossRef
2.
Costa, L. F., Natário J., [arXiv:1207.0465] (2012)
3.
Costa, L. F., Natário, J., Zilhão, M., AIP Conf. Proc. 1458 (2011) 367–370 [arXiv:1206.7093]
4.
Costa, L. F., Herdeiro C., Natário J., Zilhão, M., Phys. Rev. D 85, 024001 (2012)CrossRef
5.
Costa, L. F., Natário J., Zilhão, M., [arXiv:1207.0470] (2012)
6.
7.
8.
Jantzen R. T., Carini, P., Bini, D., Ann. Phys. 215(1) (1992) [arXiv:gr-qc/0106043]
Metadata
Title
Hidden Momentum in the Framework of Gravitoelectromagnetism
Author
L. Filipe O. Costa
Copyright Year
2014
Publisher
Springer Berlin Heidelberg
Book
Progress in Mathematical Relativity, Gravitation and Cosmology

Print ISBN: 978-3-642-40156-5

Electronic ISBN: 978-3-642-40157-2

Copyright Year: 2014

DOI
https://doi.org/10.1007/978-3-642-40157-2_26

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