Papers by Didier Barrios Solis
Annales Henri Poincaré, 2009
The standard topological censorship theorems require asymptotic hypotheses which are too restrict... more The standard topological censorship theorems require asymptotic hypotheses which are too restrictive for several situations of interest. In this paper we prove a version of topological censorship under significantly weaker conditions, compatible, e.g., with solutions with Kaluza-Klein asymptotic behavior. In particular we prove simple connectedness of the quotient of the domain of outer communications by the group of symmetries for models which are asymptotically flat, or asymptotically anti-de Sitter, in a Kaluza-Klein sense. This allows one, e.g., to define the twist potentials needed for the reduction of the field equations in uniqueness theorems. Finally, the methods used to prove the above are used to show that weakly trapped compact surfaces cannot be seen from Scri.
Classical and Quantum Gravity, 2007
All inextendible null geodesics in four dimensional de Sitter space dS 4 are complete and globall... more All inextendible null geodesics in four dimensional de Sitter space dS 4 are complete and globally achronal. This achronality is related to the fact that all observer horizons in dS 4 are eternal, i.e. extend from future infinity J + all the way back to past infinity J -. We show that the property of having a null line (inextendible achronal null geodesic) that extends from J -to J + characterizes dS 4 among all globally hyperbolic and asymptotically de Sitter spacetimes satisfying the vacuum Einstein equations with positive cosmological constant. This result is then further extended to allow for a class of matter models that includes perfect fluids.
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Papers by Didier Barrios Solis