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This paper has been withdrawn due to that the same conclusion has been proposed before.

The paper is withdrawn due to an error in Section 2.

This paper was withdrawn (temporarily?) by the author since an error needs to be corrected.

This paper has been withdrawn by the authors due to the paper is far from complishment.

This paper has been withdrawn by the authors due to a crucial error in equation 12.

This paper has been withdrawn by the authors due to the fact that the conjecture has indeed already long been established.

This paper has been withdrawn temporarily.

This paper has been withdrawn

This paper is withdrawn because the results in the paper are included in a paper to be published in Mathematical and Computer Modelling.

In this conference published in 1997 some problems on the geodesics of a Lorentzian manifold concerning causality and infinite-dimensional variational methods, are pointed out. Even though a big progress on many of these questions have been…

This paper has been removed by arXiv administrators because of overlap with gr-qc/9910015 and hep-th/0308070. It also has excessive overlap with the following papers also written by the authors or their collaborators: gr-qc/0509047,…

This paper has been withdrawn due to crucial erros in equations (24)--(31).

The paper is being withdrawn. A new submission will follow.

This paper has been withdrawn by the author since the comments have been withdrawn.

This paper has been withdrawn.

This paper has been withdrawn at the request of one of the authors.

This paper has been withdrawn by the author due to an error.

This paper has been withdrawn due to submission of subsequent versions as a new preprint

A modified version of this paper is under process and with a new title and abstract. Hence, this version of the article is completely withdrawn.

This paper has been withdrawn by the author due to a error in attachment of source file.