46 citations · 229 across the 16 of their papers we have counts for
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A singularity theorem based on spatial averages
José M. M. Senovilla
Inspired by Raychaudhuri's work, and using the equation named after him as a basic ingredient, a new singularity theorem is proved. Open non-rotating everywhere expanding universes…
The universal 'energy' operator
José M. M. Senovilla
The "positive square" of any tensor is presented in a universal and unified manner, valid in Lorentzian manifolds of arbitrary dimension, and independently of any (anti)-symmetry p…
Symmetric hyperbolic systems for a large class of fields in arbitrary dimension
José M. M. Senovilla
Symmetric hyperbolic systems of equations are explicitly constructed for a general class of tensor fields by considering their structure as r-fold forms. The hyperbolizations depen…
Singularity Theorems in General Relativity: Achievements and Open Questions
José M. M. Senovilla
In this short note, a brief overview with a critical appraisal of the acclaimed singularity theorems, the most genuine post-Einsteinian result of General Relativity, is presented.
2nd-order symmetric Lorentzian manifolds I: characterization and general results
José M. M. Senovilla
The n-dimensional Lorentzian manifolds with vanishing second covariant derivative of the Riemann tensor (2-symmetric spacetimes) are characterized and classified. The main result i…