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Various aspects of the Cauchy problem for the Einstein equations are surveyed, with the emphasis on local solutions of the evolution equations. Particular attention is payed to giving a clear explanation of conceptual issues which arise in…
This paper has been withdrawn by the author due to errors.
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We consider the Cauchy problem for a class of nonlinear degenerate parabolic equa- tion with forcing. By using the vanishing viscosity method we obtain generalized solutions. We prove some regularity results about this generalized…
This paper is withdrawn because the results in the paper are included in a paper to be published in Mathematical and Computer Modelling.
This paper has been withdrawn because the new one gr-qc/0512095 includes all its results (as well as those in gr-qc/0511016) in a clearer way.
This paper has been withdrawn by the author due to the incorrect argument for the security.
This paper has been withdrawn by the authors due to a mistake in one of the proofs
This paper has been withdrawn by the author, since some results of the paper have been already obtained in [J.~Lewandowski, Class. Quantum Grav. 9 (1992), no. 10, L147--L151.]
This paper has been withdrawn by the author due to a coming paper completely superseding it.
This paper has been withdrawn by the author.
This paper has been withdrawn by the author due to inconsistency of the considered working hypothesis. The consistent treatment is presented in the last publications of the author.
This paper has been withdrawn by the author due to some problems. Please contact me.
This paper has been withdrawn by the authors due to numerical problems to get viable results.
The paper has been withdrawn by the author due to a gap in Proof of Theorem 1.1.
This paper has been withdrawn by the author(s), due to a crucial error in eq. 6.
This paper has been withdrawn by the author. This paper is now obsolete. For a solution please see: arXiv:/1205.4265.
This paper was withdrawn by the author due to an error in the proof of the main result; essentially the parameter R used in the proof may depend on the manifold (M, g), not just on dimension and pinching constant.
This paper has been withdrawn by the author due to a crucial error.