165 citations · 310 across the 9 of their papers we have counts for
9 papers · 1 filter
Foundations of Finsler spacetimes from the Observers' Viewpoint
Antonio Bernal, Miguel Ángel Javaloyes, Miguel Sánchez
Physical foundations for relativistic spacetimes are revisited, in order to check at what extent Finsler spacetimes lie in their framework. Arguments based on inertial observers (a…
On the (non-)uniqueness of the Levi-Civita solution in the Einstein-Hilbert-Palatini formalism
Antonio N. Bernal, Bert Janssen, Alejandro Jimenez-Cano +3
We study the most general solution for affine connections that are compatible with the variational principle in the Palatini formalism for the Einstein-Hilbert action (with possibl…
Physics from scratch. Letter on M. Tegmark's ``The Mathematical Universe''
Antonio N. Bernal, Miguel Sánchez, Francisco José Soler Gil
In a recent article, M. Tegmark poses the hypothesis that our known universe is a ``baggage free'' mathematical structure among many other possible ones, which also correspond to o…
Cauchy hypersurfaces as levels of time and temporal functions
Antonio N. Bernal, Miguel Sánchez
This paper has been withdrawn because the new one gr-qc/0512095 includes all its results (as well as those in gr-qc/0507018), in a clearer way.
Further results on the smoothability of Cauchy hypersurfaces and Cauchy time functions
Antonio N. Bernal, Miguel Sánchez
Recently, folk questions on the smoothability of Cauchy hypersurfaces and time functions of a globally hyperbolic spacetime M, have been solved. Here we give further results, appli…
A note on the extendability of compact hypersurfaces to smooth Cauchy hypersurfaces
Antonio N. Bernal, Miguel Sánchez
This paper has been withdrawn because the new one gr-qc/0512095 includes all its results (as well as those in gr-qc/0511016) in a clearer way.
Smooth globally hyperbolic splittings and temporal functions
Antonio N. Bernal, Miguel Sánchez
Geroch's theorem about the splitting of globally hyperbolic spacetimes is a central result in global Lorentzian Geometry. Nevertheless, this result was obtained at a topological le…
Leibnizian, Galilean and Newtonian structures of spacetime
Antonio N. Bernal, Miguel Sánchez
The following three geometrical structures on a manifold are studied in detail: (1) Leibnizian: a non-vanishing 1-form plus a Riemannian metric $\h$ on its annhilator vector bu…
Fundamental units of length and time
A. N. Bernal, M. P. Lopez, M. Sanchez
Ideal rods and clocks are defined as an infinitesimal symmetry of the spacetime. Since no a priori geometric structure is considered, all the possible models of spacetime are obtai…