Attractors of the Einstein-Klein-Gordon system

Three-dimensional Einstein-Klein-Gordon system in characteristic numerical relativity

W. Barreto, A. Da Silva, R. Gómez, L. Lehner, L. Rosales, and J. Winicour Centro de Fı́sica Fundamental, Facultad de Ciencias, Universidad de los Andes, Mérida, Venezuela Department of Physics and Astronomy, 2002 Nicholson Hall, Louisiana State University, Baton Rouge, Louisiana 70803-4001, USA Pittsburgh Supercomputing Center, 4400 Fifth Avenue, Pittsburgh, Pennsylvania 15213, USA Department of...

WAVELET SOLUTIONS OF THE KLEIN-GORDON EQUATION

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

A Cauchy-characteristic initial value problem for the Einstein-Klein-Gordon system with spherical symmetry is presented. Initial data are specified on the union of a spacelike and null hypersurface. The development of the data is obtained with the combination of a constrained Cauchy evolution in the interior domain and a characteristic evolution in the exterior, asymptotically flat region. The ...

Strong instability of standing waves for nonlinear Klein-Gordon equation and Klein-Gordon-Zakharov system

The orbital instability of ground state standing waves eφω(x) for the nonlinear Klein-Gordon equation has been known in the domain of all frequencies ω for the supercritical case and for frequencies strictly less than a critical frequency ωc in the subcritical case. We prove the strong instability of ground state standing waves for the entire domain above. For the case when the frequency is equ...

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.