Listar DMat-Artículos, capítulos... por autor "37cc48fd-d7a3-4d5f-b967-4955d40aa9e9"
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Completeness of uniformly accelerated observers in Galilean spacetimes
De la Fuente, Daniel; Pelegrín, José A. S.; Rubio, Rafael M. (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 ... -
Galilean Generalized Robertson-Walker spacetimes: a new family of Galilean geometrical models
De la Fuente, Daniel; Rubio, Rafael M. (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 ... -
Infinitesimal relative position vector fields for observers in a reference frame and applications to conformally stationary spacetimes
Caballero, Magdalena; De la Fuente, Daniel; Rubio, Rafael M. (Springer, 2019)We introduce and analyze the concept of infinitesimal relative position vector field between “infinitesimally nearby” observers, showing the equivalence between different definitions. Through the Fermi–Walker derivative ... -
On the concept of infinitesimal position vector fields in Galilean spacetimes
Caballero, Magdalena; De la Fuente, Daniel; Pelegrín, José A. S.; Rubio, Rafael M. (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 ... -
Stability of maximal hypersurfaces in spacetimes: new general conditions and application to relevant spacetimes
De la Fuente, Daniel; Rubio, Rafael M.; Salamanca, Juan J. (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 ...