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Isochronous solutions of Einstein's equations and their Newtonian limit

Fabio Briscese, Francesco Calogero
2018 International Journal of Geometric Methods in Modern Physics (IJGMMP)  

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2018 pre-print arXiv:1803.01105v1 fatcat:pfamraelczg6pdunucqzlwluju
It has been recently demonstrated that it is possible to construct isochronous cosmologies, extending to general relativity a result valid for non-relativistic Hamiltonian systems. In this paper we review these findings and we discuss the Newtonian limit of these isochronous spacetimes, showing that it reproduces the analogous findings in the context of non-relativistic dynamics.
doi:10.1142/s0219887818501013 fatcat:heoycmzaf5azjpzg7vcuusscoy
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Fabio Briscese, Francesco Calogero. "Isochronous solutions of Einstein's equations and their Newtonian limit." International Journal of Geometric Methods in Modern Physics (IJGMMP) 15.06 (2018) 1850101