We present a new approach for analyzing band structures in one-dimensional Kerr-nonlinear photonic crystals. It combines the finite-difference time-domain method, based on the numerical simulation of oscillating dipole radiation, with the Kerr-nonlinear model. The approach is applied to analyze the band structures in Kerr-nonlinear one-dimensional photonic crystals as a function of the intensit...

We consider the Kerr de Sitter (Kerr-dS) black hole in various dimensions. Introducing a counterterm, we show that the total action of these spacetimes are finite. We compute the masses and the angular momentum of Kerr-dS spaces with one rotational parameter in four, five and seven dimensions. Also these conserved charges are computed for the case of Kerr-dS with two rotational parameters in fi...

The Ultra-luminous Compact X-ray Sources (ULXs) in nearby spiral galaxies and the Galactic superluminal jet sources share the common spectral characteristic that they have extremely high disk temperatures which cannot be explained in the framework of the standard accretion disk model in the Schwarzschild metric. We examine several possibilities to solve this “too-hot” disk problem. In particula...

We obtain a characterization of the Kerr metric among stationary, asymptotically flat, vacuum spacetimes, which extends the characterization in terms of the Simon tensor (defined only in the manifold of trajectories) to the whole spacetime. More precisely, we define a three index tensor on any spacetime with a Killing field, which vanishes identically for Kerr and which coincides in the strictl...

The Kerr-Newman solution has g=2 as that of the Dirac electron and is considered as a model of spinning particle in general relativity. The Kerr geometry changes cardinally our representations on the role of gravity in the particle physics. We show that the Kerr gravitational field has a stringy local action and a topological peculiarity which are extended up to the Compton distances, and also ...

A theoretical investigation is carried out into the impact of incoherent pumping fields and quantum interference induced by incoherent pumping fields on the Kerr nonlinearity in a three-level asymmetric semiconductor quantum well system. It is found that Kerr nonlinearity is so sensitive to the rate of incoherent pumping fields, but insensitive to the quantum interference induced by incoherent ...

We find an exact solution of Kerr-Newman-de Sitter type on the braneworld(4D) of the DGP model. When a constant 4D Ricci scalar is assumed, only zero(flat) and a positive(deSitter) values satisfy the Hamiltonian constraint equation coming from the extra dimension. With a Z2-symmetry across the brane and a stationary and axisymmetric metric ansatz on the brane, we solve the constraint equation e...