7 papers
Closed and broken electromagnetic orbits in Kerr--Newman spacetime
Erasmo Caponio, Giulio Sanzeni, Stefan Suhr
We study future-pointing timelike solutions of the Lorentz force equation in the sub-extremal Kerr--Newman spacetime, with special attention to the time-machine region $\mathfrak T…
Splitting theorems for weighted Finsler spacetimes via the -d'Alembertian: beyond the Berwald case
Erasmo Caponio, Argam Ohanyan, Shin-ichi Ohta
A timelike splitting theorem for Finsler spacetimes was previously established by the third author, in collaboration with Lu and Minguzzi, under relatively strong hypotheses, inclu…
On the formulations of the Fermat principle in general relativity and beyond
Erasmo Caponio, Miguel Angel Javaloyes
This paper presents a survey of the Fermat principle within the framework of general relativity, tracing its evolution from classical optics to its modern variational formulation i…
On a nonlinear Schrödinger-Bopp-Podolsky system in the zero mass case: functional framework and existence
Erasmo Caponio, Pietro d'Avenia, Alessio Pomponio +2
In this paper, we consider in the following zero mass Schrödinger-Bopp-Podolsky system \[ \begin{cases} -Îu +q^2Ïu=|u|^{p-2}u\\ -ÎÏ+a^2Î^2Ï=4Ïu^2 \end{cases}…
A unified framework for photon and massive particle hypersurfaces in stationary spacetimes
Erasmo Caponio, Anna valeria Germinario, Antonio Masiello
We revisit the notion of massive particle hypersurfaces and place it within a unified framework alongside photon hypersurfaces in stationary spacetimes. More precisely, for Killing…
Static spacetimes with a Finsler angular sector
Erasmo Caponio
We consider static spacetimes in spherical coordinates whose angular sector is described by a Finsler metric rather than the standard round metric on . Our first contribution…