the asymptotically ads solutions of the einstein gravity with hyperbolic horizons in the presence of so(n(n-1)/2- 1,1) yang-mills fields governed by the non-abelian born-infeld lagrangian are presented. we investigate the properties of these solutions as well as their asymptotic behavior in various dimensions. the properties of these kinds of solutions are like the einstein-yang-mills solutions...

We relate the Bohr-Sommerfeld conditions established in λ-microlocal analysis to formal deformation quantization of symplectic manifolds by classifying star products adapted to some Lagrangian sub-manifold L, i.e. products preserving the classical vanishing ideal IL of L up to IL-preserving equivalences.

We present a new operator equality in the framework of Hilbert C∗-modules. As a consequence, we get an extension of the Euler–Lagrange type identity in the setting of Hilbert bundles as well as several generalized operator Bohr’s inequalities due to O. Hirzallah, W.-S. Cheung–J.E. Pečarić and F. Zhang.

– We construct a kinematical analogue of superluminal travel in the “warped” space-times curved by gravitation, in the form of “super-phononic” travel in the effective spacetimes of perfect nonrelativistic fluids. These warp-field space-times are most easily generated by considering a solid object that is placed as an obstruction in an otherwise uniform flow. No violation of any condition on th...

There is a ( ) 4' 4 UU × -bundle on four-dimensional square root Lorentz manifold. Then Pati-Salam model in curved space-time (Lagrangian) and gravity theory are constructed manifold based self-parallel transportation principle. An explicit formulation of Sheaf quantization this shown. superposition principle construct linear space space-time. The transition amplitude path integral given which ...

In this paper we study the space of solutions to an overdetermined linear system involving the Hessian of functions. We show that if the solution space has dimension greater than one, then the underlying manifold has a very rigid warped product structure. This warped product structure will be used to study warped product Einstein structures in [HPW3].

Following the introduction of the invariant distance on the non-commutative C-algebra of the quantum group SUq(2), the Green function and the Kernel on the q-homogeneous space M = SU(2)q/U(1) are derived. A path integration is formulated. Green function for the free massive scalar field on the non-commutative Einstein space R ×M is presented.

Motivated by the conjecture that the cosmological constant problem could be solved by strong quantum effects in the infrared we use the exact flow equation of Quantum Einstein Gravity to determine the renormalization group behavior of a class of nonlocal effective actions. They consist of the Einstein-Hilbert term and a general nonlinear function Fk(V ) of the Euclidean space-time volume V. A p...

In a space-time M with Killing vector field ξa which is either everywhere timelike or everywhere spacelike, the collection of all trajectories of ξa gives a 3-dimension space S. An action of the fields on S is proposed which gives the same fields equations as those reduced from the vacuum Einstein equation on M . PACS number(s): 04.20.Fy, 04.20.Cv

We show that stationary, asymptotically flat solutions of the electrovacuum Einstein equations are analytic at i, for a large family of gauges, in odd space-time dimensions higher than seven. The same is true in space-time dimension five for static vacuum solutions with non-vanishing mass.