The purpose of this note is to introduce a new method for proving the existence of Sasakian-Einstein metrics on certain simply connected odd dimensional manifolds. We then apply this method to prove the existence of new Sasakian-Einstein metrics on S×S and on (S×S)#(S×S). These give the first known examples of non-regular Sasakian-Einstein 5manifolds. Our method involves describing the Sasakian...

Macroscopic Einstein-Maxwell equations for a system of interacting particles to second-order accuracy in the interaction constan. Macroscopic Einstein-Maxwell equations for a system of interacting particles to second-order accuracy in the interaction constant. Abstract. In this paper the macroscopic Einstein and Maxwell equations for system, in which the electromagnetic interactions are dominat...

The induced Einstein equation on a perturbed brane in the Induced Matter Theory is reanalyzed. We indicate that in a conformally flat background, the local quantum corrections to the Einstein equation can be obtained via the IMT. Using the FRW metric as the 4D gravitational model, we show that the classical fluctuations of the brane may be related to the quantum corrections to the classical Ein...

We define some operations over Atanassov’s intuitionistic fuzzy sets (AIFSs), such as Einstein intersection, Einstein product, Einstein scalar multiplication and Einstein exponentiation, etc., and then define new concentration and dilation of AIFSs. These definitions will be useful while dealing with various linguistic hedges like “very”, “more or less”, “highly”, “very very” etc., involved in ...

We study Einstein manifolds admitting a transitive solvable Lie group of isometries (solvmanifolds). It is conjectured that these exhaust the class of noncompact homogeneous Einstein manifolds. J. Heber [H] has showed that under certain simple algebraic condition (such a solvmanifold is called standard), Einstein solvmanifolds have many remarkable structural and uniqueness properties. In this p...

‎Using the explicit forms of eigenstates for linearized operator related to a matrix version of Nonlinear Schrödinger equation‎, ‎soliton perturbation theory is developed for the $F=1$ bright spinor Bose-Einstein condensates‎. ‎A small disturbance of the integrability condition can be considered as a small correction to the integrable equation‎. ‎By choosing appropriate perturbation‎, ‎the soli...

Sakdirat Kaewunruen*, Joseph M. Sussman and Herbert H. Einstein 1 Birmingham Centre for Railway Research and Education, School of Civil Engineering, University of Birmingham, Birmingham, UK 2 High Speed Rail Research Group, Department of Civil and Environmental Engineering, Massachusetts Institute of Technology, Cambridge, MA, USA 3 Department of Civil and Environmental Engineering, Massachuset...