Cauchy-characteristic evolution of Einstein-Klein-Gordon systems

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 ...

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

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...

Uniqueness in the Characteristic Cauchy Problem of the Klein-gordon Equation and Tame Restrictions of Generalized Functions

We show that every tempered distribution, which is a solution of the (homogenous) Klein-Gordon equation, admits a “tame” restriction to the characteristic (hyper)surface {x0 + x = 0} in (1 + n)-dimensional Minkowski space and is uniquely determined by this restriction. The restriction belongs to the space S′ ∂ − (R) which we have introduced in [16]. Moreover, we show that every element of S′ ∂ ...

WAVELET SOLUTIONS OF THE KLEIN-GORDON EQUATION