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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Notes
- 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]).
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Costa, L.F.O. (2014). Hidden Momentum in the Framework of Gravitoelectromagnetism. In: García-Parrado, A., Mena, F., Moura, F., Vaz, E. (eds) Progress in Mathematical Relativity, Gravitation and Cosmology. Springer Proceedings in Mathematics & Statistics, vol 60. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-40157-2_26
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DOI: https://doi.org/10.1007/978-3-642-40157-2_26
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