Cauchy-characteristic evolution of Einstein-Klein-Gordon systems.

Cauchy-characteristic Evolution of Einstein-Klein-Gordon Systems: The Black Hole Regime

ii Cauchy - Characteristic Matching In General Relativity

The problem of self-gravitating, isolated systems is undoubtedly an important and intriguing area of research in General Relativity. However, due to the involved nature of Einstein's equations physicists found themselves unable to fully explore such systems. From Einstein's theory we know that besides the electromagnetic spectrum , objects like quasars, active galactic nuclei, pulsars and black...

Soliton-like Solutions of the Complex Non-linear Klein-Gordon Systems in 1 + 1 Dimensions

In this paper, we present soliton-like solutions of the non-linear complex Klein-Gordon systems in 1+1 dimensions. We will use polar representation to introduce three different soliton-like solutions including, complex kinks (anti-kinks), radiative profiles, and localized wave-packets. Complex kinks (anti-kinks) are topological objects with zero electrical charges. Radiative profiles are object...

T Null Surfaces , Initial Values and Evolution Operators for Scalar Fields ⋆

⋆ Work supported by the Department of Energy, contract DE–AC03–76SF00515. † Permanent Address: Department of Physics and Astronomy, San Francisco State University, San Francisco, CA 94132 ‡ Permanent Address: Department of Physics and Astronomy, Sonoma State University, Rohnert Park, CA 94928 § [email protected] We analyze the initial value problem for scalar fields obeying the Kl...

Analytical solutions for the fractional Klein-Gordon equation

In this paper, we solve a inhomogeneous fractional Klein-Gordon equation by the method of separating variables. We apply the method for three boundary conditions, contain Dirichlet, Neumann, and Robin boundary conditions, and solve some examples to illustrate the effectiveness of the method.