The possibility has been recently demonstrated to manufacture (nonrelativistic, Hamiltonian) many-body problems which feature an \textit{% isochronous} time evolution with an arbitrarily assigned period $T$ yet mimic with good approximation, or even exactly, any given many-body problem (within a quite large class, encompassing most of nonrelativistic physics) over times $\tilde{T}$ which may also be arbitrarily large (but of course such that $\tilde{T}<T$). In this paper we review and further explore the possibility to extend this finding to a general relativity context, so that it becomes relevant for cosmology.
Briscese, F., Calogero, F. (2014). Isochronous Spacetimes. ACTA APPLICANDAE MATHEMATICAE, 137, Issue 1(1), 3-16 [10.1007/s10440-014-9988-7].
Isochronous Spacetimes
Briscese F;
2014-01-01
Abstract
The possibility has been recently demonstrated to manufacture (nonrelativistic, Hamiltonian) many-body problems which feature an \textit{% isochronous} time evolution with an arbitrarily assigned period $T$ yet mimic with good approximation, or even exactly, any given many-body problem (within a quite large class, encompassing most of nonrelativistic physics) over times $\tilde{T}$ which may also be arbitrarily large (but of course such that $\tilde{T}I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
