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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…

General Relativity and Quantum Cosmology · Physics 2022-12-21 Leonardo García-Heveling , Elefterios Soultanis

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,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Antonio N. Bernal , Miguel Sánchez

This paper has been withdrawn due to the use of some incorrect neutrino parameter space ranges.

High Energy Physics - Phenomenology · Physics 2007-05-23 Tanvir Rahman

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…

General Relativity and Quantum Cosmology · Physics 2016-10-05 Yafet Sanchez Sanchez , James A. Vickers

This paper has been superseded by math.AG/0510287 and withdrawn by the author.

Algebraic Geometry · Mathematics 2007-05-23 V. Golyshev

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,…

General Relativity and Quantum Cosmology · Physics 2019-10-21 Sezgin Aygun , Husnu Baysal , Ismail Tarhan

This paper has been withdrawn by the author due to the paper does not belong to Condensed Matter field.

Other Condensed Matter · Physics 2009-01-08 Shengguo Liu

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…

General Relativity and Quantum Cosmology · Physics 2008-05-20 E. Minguzzi , M. Sanchez

This paper has been withdrawn by the authors due to a crucial error.

Chaotic Dynamics · Physics 2007-09-16 A. Iomin , G. M. Zaslavsky

This paper has been withdrawn by the authors, due a crucial error.

Dynamical Systems · Mathematics 2008-02-03 Nandor Simanyi , Domokos Szasz

The paper was withdrawn by the author. Further research is needed.

patt-sol · Physics 2007-05-23 V. S. Shchesnovich

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).

High Energy Physics - Theory · Physics 2007-12-15 Teymour Darkhosh

This paper is withdrawn.

Differential Geometry · Mathematics 2009-09-07 Michael T. Anderson

This article has been withdrawn due to an error in a proof of the main result.

Algebraic Topology · Mathematics 2011-04-15 Mark Grant

This paper has been withdrawn by the author(s), due a crucial sign error in conclusion .

Quantum Physics · Physics 2007-05-23 G. R. Jin , D. L. Zhou

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…

Algebraic Geometry · Mathematics 2007-05-23 Mikhail Zaidenberg

Paper withdrawn, see math-ph/0505072

Quantum Physics · Physics 2007-05-23 Simeon Pol'shin

This paper has been withdrawn by the author because overcame by arXiv:0910.4694

Quantum Physics · Physics 2009-10-28 Bruno Galvan

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…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Keye Martin , Prakash Panangaden

This paper has been withdrawn by the author due to new results to be added.

High Energy Physics - Phenomenology · Physics 2007-05-23 Tsung-Wen Yeh