Related papers: Geodesics and Quantum Singularities in (1+1)-dimen…

The paper has been withdrawn by the author, due to a critical error stemming from the defined template.

This paper has been withdrawn by the author. There is an error on page 3 in the last inequality before Lemma 1.1.

This paper has been withdrawn because of serious errors.

The occurrence of a bounce in the FRW cosmology requires modifications of General Relativity. An example of such a modification is the recently proposed Horava-Lifshitz theory of gravity, which includes a "dark radiation" term with a…

This paper has been withdrawn by the authors, because the authors have second thought that the new ideas in this paper are better to be contained in another paper.

This paper has been withdrawn by the author.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

This paper is withdrawn because of an error in Lemma 3.1

In contrast to other approaches to (2+1)-dimensional quantum gravity, the Wheeler-DeWitt equation appears to be too complicated to solve explicitly, even for simple spacetime topologies. Nevertheless, it is possible to obtain a good deal of…

This paper has been withdrawn by the author due to the triviality of the considered coordinate transformations. A consistent treatment, based on the extended physical radial coordinate, is presented in the publications of the author 2000 -…

Singularities in $(3+1)$-dimensional Horava-Lifshitz (HL) theory of gravity are studied. These singularities can be divided into scalar, non-scalar curvature, and coordinate singularities. Because of the foliation-preserving diffeomorphisms…

This paper has been withdrawn by the authors, due to a flaw in the proof of Theorem 1. This preprint is superseded by quant-ph/0610027, where a correct proof can be found. Thanks to Rainer Siegmund-Schultze for spotting the error.

This paper has been withdrawn, because the argument for generation of Goldstone modes is incorrect.

The paper has been withdrawn by the author, due to it being fundamentally flawed. The author apologizes for any inconvenience it may have caused.

Major mistake. The paper has been withdrawn.

Although there is general agreement that a removal of classical gravitational singularities is not only a crucial conceptual test of any approach to quantum gravity but also a prerequisite for any fundamental theory, the precise criteria…

Paper withdrawn by the author.

This paper has been withdrawn by the author due to incomplete interpretation for the results.

This paper was withdrawn by the author due to a fatal error.

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

This note is devoted to the study of Hamiltonian formalism of modified F(R) Horava-Lifshitz theories of gravity that were proposed recently in arXiv:1001.4102[hep-th]. We also study Hamiltonian formulation of the healthy extended…