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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…
gr-qc2025★ 2 cited
Lorentzian-Euclidean black holes and Lorentzian to Riemannian metric transitions
Rossella Bartolo, Erasmo Caponio, Anna Valeria Germinario +1
In recent papers on spacetimes with a signature-changing metric, the concept of a Lorentzian-Euclidean black hole and new elements for Lorentzian-Riemannian signature change have b…