16 citations · 41 across the 14 of their papers we have counts for
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Compact spacelike surfaces whose mean curvature function satisfies a nonlinear inequality in a 3-dimensional Generalized Robertson-Walker spacetime
Alfonso Romero, Rafael M. Rubio
Spacelike surfaces in Generalized Robertson-Walker spacetimes whose mean curvature function satisfies a natural nonlinear inequality are analyzed. Several uniqueness and nonexisten…
An analytical approach to the external force-free motion of pendulums on surfaces of constant curvature
Rafael M. Rubio, Juan Jesús Salamanca
The dynamics of force free motion of pendulums on surfaces of constant Gaussian curvature is addressed when the pivot moves along a geodesic obtaining the Lagragian of the system.…
The Friedmann cosmological models revisited as an harmonic motion and new exact solutions
Rafael M. Rubio, Juan J. Salamanca
A new approach for arbitrary dimension to the Friedmann cosmological models is presented. Taking suitable changes of the parameters of the spacetime the harmonic motion equations a…
Constant mean curvature spacelike hypersurfaces in Lorentzian warped products and Calabi-Bernstein type problems
Juan A. Aledo, Alfonso Romero, Rafael M. Rubio
In this paper we provide several uniqueness and non-existence results for complete parabolic constant mean curvature spacelike hypersurfaces in Lorentzian warped products under app…
Complete constant mean curvature spacelike hypersurfaces in the Einstein-de Sitter spacetime
Rafael M. Rubio
Uniqueness and non-existence results on complete constant mean curvature spacelike hypersurfaces lying between two spacelike slice in the Einstein-de Sitter spacetime are given. Th…