We present a class of solutions to the Einstein-Maxwell equations in d–dimensions, all of which are asymptotically (anti)–de Sitter space-times. They describe electrically charged rotating solutions, which are generalizations of those found by Lemos (gr-qc/9404041). These solutions have toroidal, planar or cylindrical horizons and can be interpreted as black holes, or black strings/branes. We c...

Two-dimensional Maxwell-dilaton quantum gravity on AdS2 with radius l and a constant electric field E is studied. In conformal gauge, this is equivalent to a CFT on a strip. In order to maintain consistent boundary conditions, the usual conformal diffeomorphisms must be accompanied by a certain U(1) gauge transformation. The resulting conformal transformations are generated by a twisted stress ...

We study the electromagnetic force exerted on a pair of parallel slab waveguides by the light propagating through them. The dependence of the force on the separation of the slabs is calculated by means of the Maxwell–Stress tensor formalism and its main features are discussed for the different modes of the radiation. Spatially symmetric (antisymmetric) modes give rise to an attractive (repulsiv...

A novel three-dimensional probing technique for microparts with high aspect ratios is proposed. In this technique, a particle trapped optically at the optical fiber tip is used as a probe for position detection. In order to confirm the feasibility of this method, this paper demonstrates numerical computations about the optical force exerted on the probe sphere and the behavior of position detec...

has been verified experimentally when the charge moves inside a magnetic medium for which B is much larger than μ0H [9]. 3 It is sometimes preferable that the force law be given in term of the total magnetic field on the current, in which case it is generally best (in the author’s opinion) to use the Maxwell stress tensor [8]. In 1908 Einstein and Laub [10, 11, 12] argued that the force density...

We propose a novel way to trap and manipulate nano-objects above a dielectric substrate using an apertureless near-field probe. A combination of evanescent illumination and light scattering at the probe apex is used to shape the optical field into a localized, three-dimensional optical trap. We use the coupled-dipole method and the Maxwell stress tensor to provide a self-consistent description ...

The Lorentz force law is proposed as an alternative to the Maxwell stress tensor calculate torque of ironless axial flux permanent magnet (AFPM) motor. This allows calculating only magnetic field produced by magnets. A model this based on one magnet, superposition principle, and geometric transformations proposed. method for single inspired finite elements, reduce calculation time. validated 3-...

The Maxwell field with a general gauge fixing (GF) term is nontrivial, not only the longitudinal and temporal modes are mixed up in equations, but also unwanted consequences might arise from GF term. We derive complete set of solutions de Sitter space, implement covariant canonical quantization which restricts residual transformation down to quantum transformation. Then, Gupta-Bleuler (GB) phys...

The Maxwell theory on non-commutative spaces has been considered. The non-linear equations of electromagnetic fields on non-commutative spaces were obtained in the compact spin-tensor (quater-nion) form. We found the symmetric energy-momentum tensor and its non-zero trace. So, the trace anomaly of the energy-momentum tensor was obtained in electrodynamics on non-commutative spaces. It was noted...