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Stability of maximal hypersurfaces in spacetimes: new general conditions and application to relevant spacetimes
(Springer, 2017)
We obtain new simple sufficient conditions to ensure the stability and strong stability of maximal hypersurfaces (without boundary) immersed in an arbitrary spacetime. Several applications to maximal hypersurfaces in a ...
On the concept of infinitesimal position vector fields in Galilean spacetimes
(World Scientific, 2022)
We introduce two different ways to establish the concept of infinitesimal position vector field between “infinitesimally nearby” observers in a Galilean spacetime as well as show their mathematical equivalence. We also use ...
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 ...
Completeness of uniformly accelerated observers in Galilean spacetimes
(Springer, 2022)
We analyze the concept of uniformly accelerated observer in Galilean spacetimes in the context of Newton–Cartan theory and find natural geometric assumptions to ensure that an inextensible uniformly accelerated observer ...