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gr-qc2025
Area-charge inequalities and rigidity of time-symmetric initial data sets
Tiarlos Cruz, Abraão Mendes
In this paper, we establish new area-charge inequalities for the boundary of time-symmetric Einstein-Maxwell initial data sets, in both compact and noncompact cases, under the domi…
physics.gen-ph2025
Exploring light propagation in nonlinear electrodynamics: phase and group velocities and related phenomena
T. W. Cruz, V. A. De Lorenci, E. Guzmán-Herrera +1
Nonlinear electrodynamics has been an important area of research for a long time. Investigations based on nonlinear Lagrangians, such as Euler-Heisenberg and Born-Infeld, are instr…
math.DG2025
Curvature Deformations on Complete Manifolds with Boundary
Tiarlos Cruz, Almir Silva Santos
This paper investigates conformal deformations of the scalar curvature and mean curvature on complete Riemannian manifolds with boundary. We establish sufficient conditions for the…