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gr-qc2019★ 10 cited
Revisiting the characteristic initial value problem for the vacuum Einstein field equations
David Hilditch, Juan A. Valiente Kroon, Peng Zhao
Using the Newman-Penrose formalism we study the characteristic initial value problem in vacuum General Relativity. We work in a gauge suggested by Stewart, and following the strate…
gr-qc2019★ 7 cited
Conformal wave equations for the Einstein-tracefree matter system
Diego A. Carranza, Adem E. Hursit, Juan A. Valiente Kroon
Inspired by a similar analysis for the vacuum conformal Einstein field equations by Paetz [Ann. H. Poincaré 16, 2059 (2015)], in this article we show how to construct a system of q…