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Complete spacelike hypersurfaces on symmetric spacetimes
(IOP Publishing, 2020)
A Lorentz manifold (M, g) is said to be a conformally stationary spacetime if it is endowed with a globally defined conformal timelike vector field K, whereas it is a pp-wave when there is a globally defined parallel ...
Relativistic particles with torsion in three-dimensional non-vacuum spacetimes
(American Institute of Physics, 2021)
In this paper, we analyze trajectories of spacelike curves that are critical points of a Lagrangian depending on its total torsion. We focus on two important families of spacetimes, generalized Robertson–Walker and standard ...
A Moser–Bernstein problem for Riemannian warped products
(Springer, 2020)
In this work we deal with an elliptic non-linear problem, which arises naturally from Riemannian geometry. This problem has classically been studied in the the Euclidean n-dimensional space and it is known as the Moser–Bernstein ...
On the connectedness of a random closed set of a Euclidean space
(Elsevier, 2022)
Our aim is to obtain a suitable characterization of certain topological properties of a random closed set through its capacity
functional. The main technique mixes two different fields: on the one hand, the abstract ...