A set of junction conditions is stated in terms of the Newman-Penrose variables (tetrad vectors and spin coefficients). It is shown that these conditions are equivalent to those of Darmois and Lichnerowicz. As an example we study the matching of the Schwarzschild metric with an axially and reflection-symmetric metric. For this particular example we study the propagation of the Killing vectors and show how the propagation is conditioned by the fulfillment of the junction conditions.

• Received 3 June 1982

DOI:https://doi.org/10.1103/PhysRevD.28.2987