Related papers: A note on causally simple and globally hyperbolic …

In this paper we prove a closure result for globally hyperbolic spacetimes satisfying, at a certain time, natural assumptions on the deceleration, the pressure and the Hubble constant. The main tool that we use is a general Bonnet-Myers…

The paper has been withdrawn by the author.

It is shown that the space-time with a conical singularity, which describes a thin cosmic string, is hyperbolic in the sense that a unique H^1 solution exists to the initial value problem for the wave equation with a certain class of…

No Hopf-Rinow Theorem is possible in Lorentzian Geometry. Nonetheless, we prove that a spacetime is globally hyperbolic if and only if it is metrically complete with respect to the null distance of a time function. Our approach is based on…

This paper has been withdrawn by the author due to a coming paper completely superseding it.

This paper has been withdrawn by the author(s), due to double submission. You can find it under: physics/0208019

The paper is withdrawn by the author because it is superseded by cond-mat/0303357 .

This paper has been withdrawn by the author due to the fact that the results were found to be done previously.

This paper has been withdrawn because of serious errors.

This paper has been withdrawn by the author, due to an error in the proof of lemma 7.4. However, numerical evidence strongly suggest that this lemma is true.

This paper has been withdrawn by the author because eq.(4) and those subsequent are incorrect.

This paper has been withdrawn by the author, since the author does not have enough time to answer every questions on this result.

This paper has been withdrawn by the authors due to a possible inconsistency in the program code.

This paper has been withdrawn by the authors due to need of essential revision.

This paper has been withdrawn by the author. The paper has been accepted for publication in Communications on Pure and Applied Mathematics.

This paper has been withdrawn.

There have been comments on this paper which point out unclear motivation and definitions on noncommutative momentum introduced. Therefore, this paper is withdrawn by the author for more clear presentation.

The paper has been withdrawn by the author due to a gap in Proof of Theorem 1.1.

The subject of the paper is the geometry and topology of cosmological spacetimes and vector bundles thereon, which are used to model physical fields propagating in the universe. Global hyperbolicity and factorization properties of the…

This paper has been withdrawn by the author because has been send to other journal.