Numerical solutions of the Einstein-Yang-Mills equations with a negative cosmological constant are constructed. These axially symmetric solutions approach asymptotically the anti-de Sitter spacetime and are regular everywhere. They are characterized by the winding number n > 1, the mass and the non-Abelian magnetic charge. The main properties of the solutions and the differences with respect to...

Numerical arguments are presented for the existence of regular and black hole solutions of the EinsteinSkyrme equations with a positive cosmological constant. These classical configurations approach asymptotically the de Sitter spacetime. The main properties of the solutions and the differences with respect to the asymptotically flat ones are discussed. It particular our results suggest that, f...

We propose here a new idea for quantum teleportation of superposed coherent state which circumvents the problem performing non-unitary $$Z_c=|\alpha \rangle \langle \alpha |-|-\alpha -\alpha |$$ operation on qubit. The receiver only requires to perform either no unitary or $$\pi $$ phase shift in order recreate information state. use entangled resource $$\sim |\alpha ,\frac{\alpha }{\sqrt{2}}\r...

We present supersymmetric solutions describing black holes with non-vanishing angular momentum in four dimensional asymptotically flat space. The solutions are obtained by Kaluza-Klein reduction of five-dimensional supersymmetric black rings wrapped on the fiber of a Taub-NUT space. We show that in the four-dimensional description the singularity of the nut can be hidden behind a regular black ...

Let r(= r(n))!1 with 3 r n1 for an arbitrarily small constant > 0, and let Gr denote a graph chosen uniformly at random from the set of r-regular graphs with vertex set f1; 2; : : : ; ng. We prove that with probability tending to 1 as n!1, Gr has the following properties: the independence number of Gr is asymptotically 2n log r r and the chromatic number of Gr is asymptotically r 2 log r .

We report exact black hole solutions in asymptotically flat or (A)dS four-dimensional spacetime with a conformally coupled self-interacting scalar field $f(R)$ gravity. first consider the model $f(R) = R -2\alpha \sqrt{R}$ and derive an solution. Then, we =R -2 \Lambda \alpha \sqrt{R-4 }$ In both cases modified gravity parameter $\alpha$, which has dimension of inverse mass, cannot be set to ze...

In this paper, the two-stage procedure is considered for autoregressive parameters estimation in the p-order autoregressive model ( AR(p)). The point estimation and fixed-size confidence ellipsoids construction are investigated which are based on least-squares estimators. Performance criteria are shown including asymptotically risk efficient, asymptotically efficient, and asymptotically consist...