ar X iv : 0 80 6 . 09 16 v 3 [ gr - q c ] 4 S ep 2 00 8 Phantom threat to cosmic censorship

ar X iv : 0 80 6 . 01 41 v 1 [ gr - q c ] 1 J un 2 00 8 Quantum induced ω = − 1 crossing of the quintessence and phantom models

Considering the single scalar field models of dark energy, i.e. the quintessence and phantom models, it is shown that the quantum effects can cause the system crosses the ω = −1 line. This phenomenon does not occur in classical level. The quantum effects are described via the account of conformal anomaly.

ar X iv : 0 80 6 . 01 41 v 2 [ gr - q c ] 5 J an 2 00 9 Quantum induced ω = − 1 crossing of the quintessence and phantom models

Considering the single scalar field models of dark energy, i.e. the quintessence and phantom models, it is shown that the quantum effects can cause the system crosses the ω = −1 line. This phenomenon does not occur in classical level. The quantum effects are described via the account of conformal anomaly.

ar X iv : 0 70 4 . 33 68 v 2 [ gr - q c ] 2 6 A pr 2 00 7 Search for gravitational waves from binary inspirals in S 3 and S 4 LIGO data

ar X iv : m at h / 04 09 02 9 v 1 [ m at h . A G ] 2 S ep 2 00 4 ACM BUNDLES ON GENERAL HYPERSURFACES IN P 5 OF LOW DEGREE

In this paper we show that on a general hypersurface of degree r = 3, 4, 5, 6 in P 5 a rank 2 vector bundle E splits if and only if h 1 E(n) = h 2 E(n) = 0 for all n ∈ Z. Similar results for r = 1, 2 were obtained in [15], [16] and [1].

ar X iv : 0 80 3 . 26 84 v 1 [ gr - q c ] 1 8 M ar 2 00 8 Lev Landau and the problem of singularities in cosmology

We consider different aspects of the problem of cosmological singularity such as the BKL oscillatory approach to singularity, the new features of the cosmological dynamics in the neighbourhood of the singularity in multidimensional and superstring cosmological models and their connections with such a modern branch of mathematics as infinite-dimensional Lie algebras. Besides, we consider some ne...