Cauchy-characteristic matching for a family of cylindrical solutions possessing both gravitational degrees of freedom

d'Inverno, R.A., Dubal, M.R. and Sarkies, E.A. (2000) Cauchy-characteristic matching for a family of cylindrical solutions possessing both gravitational degrees of freedom. Classical and Quantum Gravity, 17 (16), 3157-3170. (doi:10.1088/0264-9381/17/16/305).

Record type: Article

Abstract

This article is part of a long-term programme to develop Cauchy-characteristic matching (CCM) codes as investigative tools in numerical relativity. The approach has two distinct features: (a) it dispenses with an outer boundary condition and replaces this with matching conditions at an interface between the Cauchy and characteristic regions, and (b) by employing a compactified coordinate, it proves possible to generate global solutions. In this paper CCM is applied to an exact two-parameter family of cylindrically symmetric vacuum solutions possessing both gravitational degrees of freedom due to Piran, Safier and Katz. This requires a modification of the previously constructed CCM cylindrical code because, even after using Geroch decomposition to factor out the z-direction, the family is not asymptotically flat. The key equations in the characteristic regime turn out to be regular singular in nature.

This record has no associated files available for download.