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arXiv · 1602.00121

Relativistic structure formation models and gravitoelectromagnetism

Fosca Al Roumi·Thomas Buchert
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Abstract

In the framework of Lagrangian perturbation theory in general relativity we discuss the possibility to split the Einstein equations, written in terms of spatial Cartan coframes within a 3+1 foliation of spacetime, into gravitoelectric and gravitomagnetic parts. While the former reproduces the full hierarchy of the Newtonian perturbation solutions, the latter contains non-Newtonian aspects like gravitational waves. This split can be understood and made unique through the Hodge decomposition of Cartan coframe fields.

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Fosca Al Roumi, Thomas Buchert. 2016-01-30. Relativistic structure formation models and gravitoelectromagnetism. https://arxiv.org/abs/1602.00121

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