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A new concept analogous to global hyperbolicity is introduced, based on test fields. It is shown that the space-times termed here ``curve integrable'' are globally hyperbolic in this new sense, and a plausibility argument is given…

General Relativity and Quantum Cosmology · Physics 2009-10-30 C J S Clarke

This paper has been withdrawn for the reasons mentioned in the Comments.

Quantum Physics · Physics 2007-05-23 Paul B. Slater

This paper is being withdrawn because an error was discovered in lemma 4.3. Although the rest of the paper appears to be correct, this error invalidates the proof of theorem 3.1 and theorem 3.3.

Metric Geometry · Mathematics 2007-05-23 Lewis Bowen

This paper has been withdrawn by the author due to a crucial error related with the consideration of regular points

Differential Geometry · Mathematics 2007-05-23 J. C. González- Dávila

This paper makes no sense. It only increases the entropy of our universe. It has been withdrawn by the author.

Superconductivity · Physics 2016-08-31 Lianyi He

This paper has been withdrawn since the material in these notes has been updated, and extended, in hep-th/0409031 and hep-th/0409033, and in work to follow.

High Energy Physics - Theory · Physics 2007-05-23 Shyamoli Chaudhuri

This paper has been withdrawn by the author, due to obsolete reference [4], insufficient discussion in sec. 4, and major conceptual error in sec. 5.

High Energy Physics - Theory · Physics 2010-01-13 K. Odagiri

This paper has been removed by arXiv administrators because it overlaps gr-qc/0303009, hep-th/0405047, gr-qc/0412120, and others. This paper also has excessive overlap with the following papers also written by the authors or their…

General Relativity and Quantum Cosmology · Physics 2019-10-21 Oktay Aydogdu , Mustafa Salti , Murat Korunur

Vickers and Wilson (see Ref. 25) have shown global hyperbolicity of the conical spacetime in the sense of well-posedness of the initial value problem for the wave equation in generalized functions. We add the aspect of metric splitting and…

Mathematical Physics · Physics 2015-04-22 Guenther Hörmann

This paper has been withdrawn by the authors due to a mistake in one of the proofs

Dynamical Systems · Mathematics 2008-11-25 M. Bessa , J. Rocha

Paper withdrawn. Replaced by by gr-qc/0212077 .

General Relativity and Quantum Cosmology · Physics 2007-05-23 Richard Livine , Carlo Rovelli

We show that the definition of global hyperbolicity in terms of the compactness of the causal diamonds and non-total imprisonment can be extended to spacetimes with continuous metrics, while retaining all of the equivalences to other…

Differential Geometry · Mathematics 2019-11-20 Clemens Sämann

The Groups of causal and conformal automorphisms of globally hyperbolic spacetimes were studied. In two dimensions, we prove that all globally hyperbolic spacetimes that are directed and connected are causally isomorphic. We work out the…

General Relativity and Quantum Cosmology · Physics 2024-07-19 Ali Bleybel

This paper has been removed by arXiv administrators because of overlap with gr-qc/0303034. This paper also has excessive overlap with the following papers also written by the authors or their collaborators: gr-qc/0601133, gr-qc/0602012,…

General Relativity and Quantum Cosmology · Physics 2019-10-21 Oktay Aydogdu

This paper has been withdraw by the authors. An enlarged and complete analysis of the constraints is presented in hep-th/9910163. It includes also relativistic particles and strings. The non-relativistic particle quantization has been…

High Energy Physics - Theory · Physics 2008-02-03 Luis A. Cabral , Victor O. Rivelles

We argue that in the context of string theory, the usual restriction to globally hyperbolic spacetimes should be considerably relaxed. We exhibit an example of a spacetime which only satisfies the causal condition, and so is arbitrarily…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Veronika E. Hubeny , Mukund Rangamani , Simon F. Ross

This paper also has excessive overlap with the following papers also written by the authors or their collaborators: gr-qc/0608014, gr-qc/0511095, gr-qc/0505078, gr-qc/0502060, gr-qc/0603027, gr-qc/0606028, gr-qc/0607109, gr-qc/0607110,…

General Relativity and Quantum Cosmology · Physics 2019-10-21 Murat Korunur , Ali Havare , Mustafa Salti

This paper has been withdrawn by the authors because the authors excluded the paper from electronic proceedings of the conference.

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. V. Kisselev , V. A. Petrov

An introduction to and a partial review of supergravity theories is given, insisting on concepts and on some important technical aspects. Topics covered include elements of global supersymmetry, a derivation of the simplest N=1 supergravity…

High Energy Physics - Theory · Physics 2015-09-04 Jean-Pierre Derendinger

This paper has been withdrawn by the author, due an error in Eq.(4.4), wherein a term of cosmological constant added into a theory of gravitation by Ref.[8], in which such the term is truly forbidden.

Astrophysics · Physics 2007-05-23 V. V. Kiselev