Talk detail

Participant	Vacaru, Sergiu
Institution	UAIC - Alexandru Lapusneanu street, nr.14 corp R, office 323 - Iasi - , - Romania

Session	GT1	Accepted		Order	Time
Talk	Oral abstract	Title	Generic Off-Diagonal Solutions and Solitonic Hierachies in Einstein and Modified Gravity Theories
Co-authors
Abstract	We provide a geometric technuques of constructing exact solutions for Ricci solitons and Einstein-Yang-Mills-Higgs and Einstein-Dirac equations. It is outlined a proof that there is a general decoupling property of vacuum and nonvacuum field equiations in (modified)gravity theories with respect to nonholonomic frames adapted splitting of dimensions 2 (or 3) +2+2+ ... The corresponding classes of solutions are determined by generating and integration functions which depend, in general, on all space and time coordinates and may possess, or not, Killing symmetries. Finally, we summarize main results on bi-Hamiltonian structures and mKdV hierarchies of solitionic equations generated by exact solutions and curve flows of non-stretching curves.

Session	QG2	Accepted		Order	Time
Talk	Oral abstract	Title	Covariant Renormalizable Gravity Theories on (Non) Commutative Tangent Bundles
Co-authors
Abstract	We prove a formal integrability of a very large class of modified commutative and noncommutative theories on (co) tangent bundles and nonholonomic manifolds, including the Einstein gravity. The general solutions are off-diagonal and depend on all spacetime coordinates via generating and integration functions and (un-) broken symmetry parameter. To such nonholonomic / parametric configurations we can associate certain classes of covariant gravity theories with a nice ultraviolet behavour which are (super) renormalizable in a sese of covariant modifications of Horava-Lifshitz and some partner theories. The apparent breaking of Lorentz invariance and anisotropy are due to effective off-diagonal nonlinear and/or parametric interactions. We speculate on possible phenomenological implications in quantum gravity models and cosmology.

Session	AT4	Accepted		Order	Time
Talk	Oral abstract	Title	Cosmological Solutions in Biconnection and Bimetric Gravity Theories
Co-authors
Abstract	We show how generic off-diagonal black hole and cosmological solutions can be constructed in modified gravity theories with biconnection and/or bimetric structures. There are examined some related cosmological evolution models starting out (anti-) de Sitter phase towards matter dominated FLRW and anisotropic universes. We try to fit such scenaria to observational data and speculate on modern dark energy and dark matter problems.