Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2000-02-16
Class.Quant.Grav. 17 (2000) 3157-3170
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
7 figures
Scientific paper
10.1088/0264-9381/17/16/305
This paper is part of a long term program to Cauchy-characteristic matching (CCM) codes as investigative tools in numerical relativity. The approach has two distinct features: (i) it dispenses with an outer boundary condition and replaces this with matching conditions at an interface between the Cauchy and characteristic regions, and (ii) 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.
d'Inverno Ray A.
Dubal Mark R.
Sarkies E. A.
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