Approaches to Numerical Relativity: Proceedings of the by Ray d'Inverno

By Ray d'Inverno

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Extra resources for Approaches to Numerical Relativity: Proceedings of the International Workshop on Numerical Relativity, Southampton, December 1991

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This paper reports on several extensions of that work. First, a summary of the problem is given in section 2 [3,4,13]. The gravitational field is completely described by one function q on an initial null hypersurface. The calculation proceeds in two stages: firstly within the hypersurface, and then q is evolved to the next null hypersurface. Bishop: Some aspects of the characteristic initial value problem 21 In sections 3 and 4 the accuracy and evolution stability of the code are investigated in a formal way, firstly for the Schwarzschild solution and then for a constructed solution.

L + O(r 2 )). This means that the r, 0 and

Cambridge University Press, Cambridge. Newman, E. T. and Penrose, R. (1962). J. Math. , 3, 566-578. Penrose, R. and Rindler, W. (1984). Spinors and space-time 1: Two-spinor calculus and relativistic fields, Cambridge University Press, Cambridge. Sachs, R. K. (1962). J. Math. , 3, 908-914. Stewart, J. M. (1986). In Astrophysical Radiation Hydrodynamics, K-H. A. Winkler and M. L. ), 531-568, Reidel, Dordrecht. Stewart, J. M. (1989). Proc. Roy. Soc. Lond. A, 424, 211-222. Stewart, J. M. (1991).

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