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arXiv · 1406.1968

Papapetrou field as the gravitoelectromagnetic field tensor in stationary spacetimes

M. Nouri-Zonoz·A. Parvizi
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Abstract

Introducing the well known Papapetrou field as the gravitoelectromagnetic field tensor, we express the Maxwell-type part of the 3-dimensional quasi-Maxwell form of the {\it vacuum} Einstein field equations in terms of differential forms, analogous to their electromagnetic counterparts in curved spacetimes. Using the same formalism we introduce the junction conditions on non-null hypersurfaces in terms of the introduced gravitoelectromagnetic 4-vector fields and apply them to the case of the Van Stockum interior and exterior solutions.

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M. Nouri-Zonoz, A. Parvizi. 2014-06-08. Papapetrou field as the gravitoelectromagnetic field tensor in stationary spacetimes. https://doi.org/10.1007/s10714-016-2032-7

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