4 papers
Photon surfaces extension in general spherical dust collapse
Roberto Giambò, Camilla Lucamarini
We extend the analysis of photon surfaces in spherical dust collapse to the general, non-marginally bound case, i.e.\ allowing the \textit{energy function} of the Lema\^ıtr…
Photon surfaces extensions for dynamical gravitational collapse
Roberto Giambò, Camilla Lucamarini
The equations for the photon surface in spherical symmetry are worked out, starting from arXiv:gr-qc/0005050, in the most general dynamical setting. We show that the condition for…
Emergent order spectrum for transitive homeomorphisms
Filippo Ciavattini, Marco Farotti, Camilla Lucamarini
The Emergent Order Spectrum is a topological invariant of dynamical systems providing order-types induced by the limit order of order-compatible nested -ch…
Order spectra in topological dynamical systems
F. Ciavattini, A. Della Corte, C. Lucamarini
In a compact topological dynamical system , we associate to every pair a canonical order-theoretic invariant, its emergent order spectrum . We first prove th…