No Kerr-like exact solution has yet been found in Chern-Simons modified gravity. Intrigued by this absence, we study stationary and axisymmetric metrics that could represent the exterior field of spinning black holes. For the standard choice of the background scalar, the modified field equations decouple into the Einstein equations and additional constraints. These constraints eliminate essenti...

The Schrödinger equation, Klein?Gordon equation (KGE), and Dirac are believed to be the fundamental equations of quantum mechanics. Schrödinger’s has a defect in that there no negative kinetic energy (NKE) solutions. Dirac’s positive (PKE) NKE branches. Both branches should have low-momentum, or nonrelativistic, approximations: One is other equation. KGE two problems: It an second time derivati...

Non-linear Eq.s occur as a sub-problem in wide variety of engineering and scientific domains. To deal with the complexity Eq.s, it is often required to use numerical procedures, which are most suitable method employ certain circumstances. Many classic iterative approaches have been regularly employed for various situations; nevertheless, convergence rate those methods low. In many cases, an app...