Journal
PHYSICAL REVIEW D
Volume 92, Issue 2, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.92.023512
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Funding
- Lyon Institute of Origins [ANR-10-LABX-66]
- Ecole Doctorale Lyon
- French-Bavarian Cooperation Center
- BFHZ Munich
- DFG [WI 4501/1-1]
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The relativistic generalization of the Newtonian Lagrangian perturbation theory is investigated. In previous works, the first-order trace solutions that are generated by the spatially projected gravitoelectric part of the Weyl tensor were given together with extensions and applications for accessing the nonperturbative regime. We furnish here construction rules to obtain from Newtonian solutions the gravitoelectric class of relativistic solutions, for which we give the complete perturbation and solution schemes at any order of the perturbations. By construction, these schemes generalize the complete hierarchy of solutions of the Newtonian Lagrangian perturbation theory.
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