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A Connection Approach to Numerical Relativity

D. C. Salisbury·L. C. Shepley
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Abstract

We discuss a general formalism for numerically evolving initial data in general relativity in which the (complex) Ashtekar connection and the Newman-Penrose scalars are taken as the dynamical variables. In the generic case three gauge constraints and twelve reality conditions must be solved. The analysis is applied to a Petrov type \{1111\} planar spacetime where we find a spatially constant volume element to be an appropriate coordinate gauge choice.

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D. C. Salisbury, L. C. Shepley. 1994-03-19. A Connection Approach to Numerical Relativity. https://doi.org/10.1088/0264-9381%2F11%2F11%2F019

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