Related papers: Dirac fields, scalar fields and Final state bounda…

This paper has been withdrawn by the author due to serious flaws in certain proofs. For instance, the method used to construct certain automorphic representations is flawed.

This paper has been withdrawn by the author due to a crucial error in several equations.

This paper has been withdrawn by the authors due to overlap with other papers.

We review our recent work on linear stability for scalar perturbations of Kerr spacetimes, that is to say, boundedness and decay properties for solutions of the scalar wave equation \Box_g{\psi} = 0 on Kerr exterior backgrounds. We begin…

This paper has been temporarily withdrawn by the author because there are errors in it that require further study.

The condition for the existence of a bound state between two fermions exchanging massive scalars is derived. For low scalar mass, we reproduce the scalar field model result. The high scalar mass result exhibits a somewhat different…

This paper has been withdrawn due to a crucial theoretical and experimental error.

We discuss 2D dilaton supergravity in the presence of boundaries. Generic ones lead to results different from black hole horizon boundaries. In particular, the respective numbers of physical degrees of freedom differ, thus generalizing the…

The paper has been withdrawn by the author due to crucial error in formula (14) which does not satisfy conditions for S(x,y) domain if only d>2.

Derrick's theorem on the nonexistence of stable time-independent scalar field configurations [G. H. Derrick, J. Math. Phys. 5, 1252 (1964)] is generalized to finite systems of arbitrary dimension. It is shown that the "dilation" argument…

This paper has been withdrawn by the author(s), due the final version in math.QA/0604564

This paper has been withdrawn by the author. The most updated version can be accessed by arXiv:1806.07290.

Recently, significant progress has been made in the study of black hole (BH) perturbations, both within the framework of general modified gravity theories and in complex environments. However, a well-established conclusion regarding the…

The author has withdrawn this submission.

This paper has been withdrawn by the author because the original version has been changed to another new paper.

This paper has been withdrawn. It will be split into two separate papers. New results will be added in both papers.

This paper has been withdrawn by the authors due to need of essential revision.

This paper has been withdrawn by the author for further investigation.

This paper has been withdrawn by the authors. We have discovered an error in the evaluation of the diagram, which invalidates our conclusion.

Edge states are studied for the two-dimensional Dirac equation in a circular geometry. The properties of the two-component electromagnetic field are discussed in terms of the three-component polarization field, which can form a vortex…