Aa. Kehagias et E. Papantonopoulos, DISCONTINUITIES AND COLLISION OF GRAVITATIONAL-WAVES IN STRING THEORY, Modern physics letters A, 10(33), 1995, pp. 2531-2542
We examine here discontinuities in the metric, the antisymmetric tenso
r and the dilaton field which are allowed by conformal invariance. We
find that the surfaces of discontinuity must necessarily be null and b
oth shock and impulsive waves are allowed. We employ our results for t
he case of colliding plane gravitational waves and we discuss the SL(2
,R) x SU(2)/R x R WZW model in the present perspective. In particular,
the singularities encountered in this model may be viewed as the resu
lt of the mutual focusing of the colliding waves.