activity
20022026
most citedOn the energy functional on Finsler manifolds and applications to stationary spacetimes

79 citations · 390 across the 33 of their papers we have counts for

collaborators

34 papers

math.DG2026

Multiplicity of Finsler geodesics and electromagnetic trajectories via localized deformations

Erasmo Caponio, Anna Valeria Germinario, Antonio Masiello

Given a Finsler manifold and suitable nested regions , with connected and non-contractible, as in the model case of concentric b…

gr-qc2026

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…

gr-qc2026

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…

gr-qc2026

A unified framework for photon and massive particle hypersurfaces in stationary spacetimes

Erasmo Caponio, Anna Valeria Germinario, Anna valeria Germinario +1

Massive particle surfaces (MPS), introduced by Kobialko, Bogush and Gal'tsov, are timelike hypersurfaces confining the trajectories of charged massive particles with fixed Killing…

gr-qc2025

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…

math.AP2025

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 \[ \begin{cases} -Δu +q^2ϕu=|u|^{p-2}u\\ -Δϕ+a^2Δ^2ϕ=4πu^2 \end{cases} \] wher…