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gr-qc2025★ 8 cited
Complex degenerate metrics in general relativity: a covariant extension of the Moore-Penrose algorithm
Arthur Garnier, Emmanuele Battista
The Moore-Penrose algorithm provides a generalized notion of an inverse, applicable to degenerate matrices. In this paper, we introduce a covariant extension of the Moore-Penrose m…
gr-qc2024★ 4 cited
Particle dynamics in spherically symmetric electro-vacuum instantons
Arthur Garnier
In this paper, we study the geodesic motion in spherically symmetric electro-vacuum Euclidean solutions of the Einstein equation. There are two kinds of such solutions: the Euclide…