Related papers: A note on causally simple and globally hyperbolic …
We give an example of a spacetime with a continuous metric which is globally hyperbolic and exhibits causal bubbling. The metric moreover splits orthogonally into a timelike and a spacelike part. We discuss our example in the context of…
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 level, and the possibility to obtain a metric (or, at least,…
This paper has been withdrawn due to the use of some incorrect neutrino parameter space ranges.
In this paper we present well-posedness results of the wave equation in $H^{1}$ for spacetimes that contain string-like singularities. These results extend a framework able to characterise gravitational singularities as obstruction to the…
This paper has been superseded by math.AG/0510287 and withdrawn by the author.
This paper has been removed by arXiv administrators because of overlap with gr-qc/0408043 and 0706.3245. This paper has excessive overlap with the following papers also written by the authors or their collaborators: gr-qc/0607110,…
This paper has been withdrawn by the author due to the paper does not belong to Condensed Matter field.
The full causal ladder of spacetimes is constructed, and their updated main properties are developed. Old concepts and alternative definitions of each level of the ladder are revisited, with emphasis in minimum hypotheses. The implications…
This paper has been withdrawn by the authors due to a crucial error.
This paper has been withdrawn by the authors, due a crucial error.
The paper was withdrawn by the author. Further research is needed.
This paper has been withdrawn by the author because similar published work on the topic was overlooked. See S. Deser and A. Waldron, Nucl. Phys. B 631, 369-387 (2002).
This paper is withdrawn.
This article has been withdrawn due to an error in a proof of the main result.
This paper has been withdrawn by the author(s), due a crucial sign error in conclusion .
This is a recent conference report on the Kobayashi Problem on hyperbolicity of generic projective hypersurfaces. As an appendix, a (non-updated) author's survey article of 1992 on the same subject, published in an edition with a limited…
Paper withdrawn, see math-ph/0505072
This paper has been withdrawn by the author because overcame by arXiv:0910.4694
We prove that a globally hyperbolic spacetime with its causality relation is a bicontinuous poset whose interval topology is the manifold topology. This provides an abstract mathematical setting in which one can study causality independent…
This paper has been withdrawn by the author due to new results to be added.