Shock-wave geometry with nonvanishing cosmological constant

Abstract

The authors found a shock-wave solution of the Einstein equation with nonvanishing cosmological constant. The solution is obtained by (anti-)de-Sitter boosting the Schwarzschild-(anti-)-de-Sitter metric. The solution can be regarded as an extension of the Aichelburg-Sexl geometry. It will be useful for calculation of graviton-exchange amplitudes.