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An analytical approach to the external force-free motion of pendulums on surfaces of constant curvature
(Elsevier, 2018)
The dynamics of external force free motion of pendulums on surfaces of constant Gaussian curvature is addressed when the pivot moves along a geodesic obtaining the Lagrangian of the system. As an application it is possible ...
Compact maximal hypersurfaces in globally hyperbolic spacetimes
(IOP Publishing, 2018)
Several uniqueness results on compact maximal hypersurfaces in a wide class of globally hyperbolic spacetimes are provided. They are obtained from the study of a distinguished function on the maximal hypersurface and under ...
Galilean Generalized Robertson-Walker spacetimes: a new family of Galilean geometrical models
(American Institute of Physics, 2018)
We introduce a new family of Galilean spacetimes, the Galilean generalized Robertson-Walker spacetimes. This new family is relevant in the context of a generalized Newton-Cartan theory. We study its geometrical structure ...