Following the technique of [1], we show that strictly static and strictly stationary solutions of the Einstein-Maxwell equations are analytic in harmonic coordinates. This holds whether or not the Maxwell field inherits the symmetry.

Static axisymmetric Einstein–Maxwell–Dilaton and stationary axisymmetric Einstein–Maxwell–Dilaton–Axion theories in four space–time dimensions are shown to be integrable by means of the inverse scattering transform method. PASC number(s): 97.60.Lf, 04.60.+n, 11.17.+y

nanofluids are colloidal suspension of nanoparticles in a base fluid and have superior thermal properties in comparison to their base fluids. novel properties of nanofluids are yet to be explored to the highest potential. currently extensive investigation has been done on thermal conductivity of metallic and oxide nanofluids. composites offer the advantage of tailor made properties and fluids w...

The Maxwell equations describe the interaction of electric and magnetic fields. Important applications are electric machines such as transformers or motors, or electromagnetic waves radiated from antennas or transmitted in optical fibres. To compute the solutions of real life problems on complicated geometries, numerical methods are required. In this lecture we formulate the Maxwell equations, ...

We discuss the radiation problem of total reflection for a time-harmonic generalized Maxwell system in a nonsmooth exterior domain Ω ⊂ RN , N ≥ 3 , with nonsmooth inhomogeneous, anisotropic coefficients converging near infinity with a rate r−τ , τ > 1 , towards the identity. By means of the limiting absorption principle a Fredholm alternative holds true and the eigensolutions decay polynomially...